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Bartleby Sitemap - Textbook Solutions

All Textbook Solutions for Intermediate Algebra

Write the first five terms of the sequence whose general term is an=3n4.Write the first five terms of the sequence whose general term is an=2n5.Write the first five terms of the sequence whose general term is an=3n+4.Write the first five terms of the sequence whose general term is an=2n5.Write the first five terms of the sequence whose general term is an=(1)nn2.Write the first five terms of the sequence whose general term is an=(1)n+1n3.Find a general term for the sequence whose first five terms are shown. 3, 6, 9, 12, 15, …Find a general term for the sequence whose first five terms are shown. 5, 10, 15, 20, 25, …Find a general term for the sequence whose first five terms are shown. 3,9,27,81,243,....Find a general term for the sequence whose first five terms are shown. 1,4,9,16,25,....Find a general term for the sequence whose first five terms are shown. 12,14,18,116,132,...Find a general term for the sequence whose first five terms are shown. 11,14,19,116,125,...Write the first five terms of the sequence whose general term is an=2n!.Write the first five terms of the sequence whose general term is an=3n! .Write the first five terms of the sequence whose general term is an=(n1)!(n+1)! .Write the first five terms of the sequence whose general term is an=n!(n+1)!.Expand the partial sum and five its value: i=153i.Expand the partial sum and five its value: i=154i.Expand the partial sum and five its value: k=032k!.Expand the partial sum and five its value: k=033k!.Write each sum using summation notation: 12+14+18+116+132.Write each sum using summation notation: 1+14+19+116+125.Write each sum using summation notation: 14+916+25.Write each sum using summation notation: 2+46+810.In the following exercises, write the first terms of the sequence whose general term is given. an=2n7 In the following exercises, write the first terms of the sequence whose general term is given. 2. an=5n1 In the following exercises, write the first terms of the sequence whose general term is given. 3. an=3n+1 In the following exercises, write the first terms of the sequence whose general term is given. 4. an=4n+2 3In the following exercises, write the first terms of the sequence whose general term is given. 5. an=2n+3 In the following exercises, write the first terms of the sequence whose general term is given. 6. an=3n1 In the following exercises, write the first terms of the sequence whose general term is given. 7. an=3n2n In the following exercises, write the first terms of the sequence whose general term is given. 8. an=2n3n In the following exercises, write the first terms of the sequence whose general term is given. 9. an=2nn2 In the following exercises, write the first terms of the sequence whose general term is given. 10. an=3nn3 In the following exercises, write the first terms of the sequence whose general term is given. 11. an=4n22n In the following exercises, write the first five terms of the sequence whose general term is given. 12. an=3n+33n In the following exercises, write the first five terms of the sequence whose general term is given. 13. an(1)n2n In the following exercises, write the first five terms of the sequence whose general term is given. 14. an=(1)n3n In the following exercises, write the first five terms of the sequence whose general term is given. 15. an=(1)n+1n2 In the following exercises, write the first five terms of the sequence whose general term is given. 16. an=(1)n+1n4 In the following exercises, write the first five terms of the sequence whose general term is given. 17. an=( 1)n+1n2 In the following exercises, write the first five terms of the sequence whose general term is given. 18. an=( 1)n+12n In the following exercises, find a general term for the sequence whose first five terms are shown. 19. 8, 16, 24, 32, 40, ….In the following exercises, find a general term for the sequence whose first five terms are shown. 20. 7, 14, 21,28, 35, …In the following exercises, find a general term for the sequence whose first five terms are shown. 21. 6, 7, 8, 9, 10, …In the following exercises, find a general term for the sequence whose first five terms are shown. 22. 3,2,1,0,1,...In the following exercises, find a general term for the sequence whose first five terms are shown. 23. e3,e4,e5,e6,e7,...In the following exercises, find a general term for the sequence whose first five terms are shown. 24. 1e2,1e,1,e,e2,...In the following exercises, find a general term for the sequence whose first five terms are shown. 25. 5,10,15,20,25,...In the following exercises, find a general term for the sequence whose first five terms are shown. 26. 6,11,16,21,26,...In the following exercises, find a general term for the sequence whose first five terms are shown. 27. 1,8,27,64,125,...In the following exercises, find a general term for the sequence whose first five terms are shown. 28. 2,5,10,17,26,...In the following exercises, find a general term for the sequence whose first five terms are shown. 29. 2,4,6,8,10,...In the following exercises, find a general term for the sequence whose first five terms are shown. 30. 1,3,5,7,9,...In the following exercises, find a general term for the sequence whose first five terms are shown. 31. 14,116,164,1256,11,024,...In the following exercises, find a general term for the sequence whose first five terms are shown. 32. 11,18,127,164,1125,...In the following exercises, find a general term for the sequence whose first five terms are shown. 33. 12,23,34,45,56,...In the following exercises, find a general term for the sequence whose first five terms are shown. 34. 2,32,43,54,65,...In the following exercises, find a general term for the sequence whose first five terms are shown. 35. 52,54,58,516,532,...In the following exercises, find a general term for the sequence whose first five terms are shown. 36. 4,12,427,464,4125,...In the following exercises, using factorial notation, write the first terms of the sequence whose general term is given. 37. an=4n!In the following exercises, using factorial notation, write the first terms of the sequence whose general term is given. 38. an=5n!In the following exercises, using factorial notation, write the first terms of the sequence whose general term is given. 39. an=3n!In the following exercises, using factorial notation, write the first terms of the sequence whose general term is given. 40. an=2n!In the following exercises, using factorial notation, write the first terms of the sequence whose general term is given. 41. an=(2n)!In the following exercises, using factorial notation, write the first terms of the sequence whose general term is given. 42. an=(3n)!In the following exercises, using factorial notation, write the first terms of the sequence whose general term is given. 43. an=(n1)!(n)!In the following exercises, using factorial notation, write the first terms of the sequence whose general term is given. 44. an=n!(n+1)!In the following exercises, using factorial notation, write the first terms of the sequence whose general term is given. 45. an=n!n2 In the following exercises, using factorial notation, write the first terms of the sequence whose general term is given. 46. an=n2n!In the following exercises, using factorial notation, write the first terms of the sequence whose general term is given. 47. an=(n+1)!n2 the following exercises, using factorial notation, write the first terms of the sequence whose general term is given. 48. an=(n+1)!2n In the following exercises, expand the partial sum and find its value. 49. i=15i2 In the following exercises, expand the partial sum and find its value. 50. i=15i3 In the following exercises, expand the partial sum and find its value. 51. i=16(2i+3)In the following exercises, expand the partial sum and find its value. 52. i=16(3i2)In the following exercises, expand the partial sum and find its value. 53. i=142i In the following exercises, expand the partial sum and find its value. 54. i=143i In the following exercises, expand the partial sum and find its value. 55. k=034k!In the following exercises, expand the partial sum and find its value. 56. k=041k!In the following exercises, expand the partial sum and find its value. 57. k=15k(k+1)In the following exercises, expand the partial sum and find its value. 58. k=15k(2k3)In the following exercises, expand the partial sum and find its value. 59. n=15nn+1 In the following exercises, expand the partial sum and find its value. 60. n=14nn+2 In the following exercises, write each sum using summation notation. 61. 13+19+127+181+1243 In the following exercises, write each sum using summation notation. 62. 14+116+164+1256 In the following exercises, write each sum using summation notation. 63. 1+18+127+164+1125 In the following exercises, write each sum using summation notation. 64. 15+125+1125+1625 In the following exercises, write each sum using summation notation. 65. 2+1+23+12+25 In the following exercises, write each sum using summation notation. 66. 3+32+1+34+35+12 In the following exercises, write each sum using summation notation. 67. 36+912+15 In the following exercises, write each sum using summation notation. 68. 5+1015+2025 In the following exercises, write each sum using summation notation. 69. 2+46+810+...+20 In the following exercises, write each sum using summation notation. 70. 13+57+9+...+21 In the following exercises, write each sum using summation notation. 71. 14+16+18+20+22+24+26 In the following exercises, write each sum using summation notation. 72. 9+11+13+15+17+19+21 In your own words, explain how to write the terms of a sequence when you know the formula. Show an example to illustrate your explanation.ä Which terms of the sequence are negative when the nth term of the sequence is an=(1)n(n+2)?In your own words, explain what is meant by n! Show some examples to illustrate your explanation.Explain what each part of the notation k=1122k means.Determine if each sequence is arithmetic. If so, indicate the common difference. (a) 9,20,31,42,53,64,... (b) 12,6,0,6,12,18,... (c) 7,1,10,4,13,7,...Determine if each sequence is arithmetic. If so, indicate the common difference. (a) 4,4,2,10,8,16,... (b) 3,1,1,3,5,7,... (c) 7,2,3,8,13,18,...Write the first five terms of the sequence where the first term is 7 and the common difference is d=4.Write the first five terms of the sequence where the first term is 11 and the common difference is d=8.Find the twenty-seventh term of a sequence where the first term is 7 and the common difference is 9.Find the eighteenth term of a sequence where the first term is 13 and the common differences is -7.Find the eleventh term of a sequence where the ninth term is 8 and the common difference is -3. Give the formula for the general term.Find the nineteenth term of a sequence where the fifth term is 1 and the common difference is -4. Give the formula for the general term.Find the first term and common difference of a sequence where the fourth term is 17 and the thirteenth term is 53. Give the formula for the general term.Find the first term and common difference of a sequence where the third term is 2 and the twelfth term is -25. Give the formula for the general term.Find the sum of the first 30 terms of the arithmetic sequence: 5, 9, 13, 17, 21, …Find the sum of the first 30 terms of the arithmetic sequence: 7, 10, 13, 16, 19, …Find the sum of the first 50 terms of the arithmetic sequence whose general term is an=2n5.Find the sum of the first 50 terms of the arithmetic sequence whose general term is an=4n+3.Find the sum: i=130(6i4).Find the sum: i=135(5i3).In the following exercises, determine if each sequence is arithmetic, and if so, indicate the common difference. 77. 4,12,20,28,36,44,...In the following exercises, determine if each sequence is arithmetic, and if so, indicate the common difference. 78. 7,2,3,8,13,18,...In the following exercises, determine if each sequence is arithmetic, and if so, indicate the common difference. 79. 15,16,3,12,21,30,...In the following exercises, determine if each sequence is arithmetic, and if so, indicate the common difference. 80. 11,5,1,7,13,19,...In the following exercises, determine if each sequence is arithmetic, and if so, indicate the common difference. 81. 8,5,2,1,4,7,...In the following exercises, determine if each sequence is arithmetic, and if so, indicate the common difference. 82. 15,5,5,15,25,35,...In the following exercises, write the first five terms of each sequence with the given first term and common difference. 83. a1=11 and d=7 In the following exercises, write the first five terms of each sequence with the given first term and common difference. 84. a1=18 and d=9 In the following exercises, write the first five terms of each sequence with the given first term and common difference. 85. a1=7 and d=4 In the following exercises, write the first five terms of each sequence with the given first term and common difference. 86. a1=8 and d=5 In the following exercises, write the first five terms of each sequence with the given first term and common difference. 87. a1=14 and d=9 In the following exercises, write the first five terms of each sequence with the given first term and common difference. 88. a1=3 and d=3 In the following exercises, find the term described using the information provided. 89. Find the twenty-first term of a sequence where the first term is three and the common difference is eight.In the following exercises, find the term described using the information provided. 90. Find the twenty-third term of a sequence where the first term is six and the common difference is four.In the following exercises, find the term described using the information provided. 91. Find the thirtieth term of a sequence where the first term is -14 and the common difference is five.In the following exercises, find the term described using the information provided. 92. Find the fortieth term of a sequence where the first term is -19 and the common difference is seven.In the following exercises, find the term described using the information provided. 93. Find the sixteenth term of a sequence where the first term is 11 and the common difference is -6.In the following exercises, find the term described using the information provided. 94. Find the fourteenth term of a sequence where the first term is eight and the common difference is -3.In the following exercises, find the term described using the information provided. 95. Find the twentieth term of a sequence where the fifth term is -4 and the common difference is -2. Give the formula for the general term.In the following exercises, find the term described using the information provided. 96. Find the thirteenth term of a sequence where the sixth term is -1 and the common difference is -4. Give the formula for the general term.In the following exercises, find the term described using the information provided. 97. Find the eleventh term of a sequence where the third term is 19 and the common difference is five. Give the formula for the general term.In the following exercises, find the term described using the information provided. 98. Find the fifteenth term of a sequence where the tenth term is 17 and the common difference is seven. Give the formula for the general term.In the following exercises, find the term described using the information provided. 99. Find the eighth term of a sequence where the seventh term is -8 and the common difference is -5. Give the formula for the general term.In the following exercises, find the term described using the information provided. 100. Find the fifteenth term of a sequence where the tenth term is -11 and the common difference is -3. Give the formula for the general term.In the following exercises, find the first term and common difference of the sequence with the given terms. Give the formula for the general term.. 101. The second term is 14 and the thirteenth term is 47.In the following exercises, find the first term and common difference of the sequence with the given terms. Give the formula for the general term.. 102. The third term is 18 and the fourteenth term is 73.In the following exercises, find the first term and common difference of the sequence with the given terms. Give the formula for the general term.. 103. The second term is 13 and the tenth term is -51.In the following exercises, find the first term and common difference of the sequence with the given terms. Give the formula for the general term.. 104. The third term is four and the tenth term is -38.In the following exercises, find the first term and common difference of the sequence with the given terms. Give the formula for the general term.. 105. The fourth term is -6 and the fifteenth term is 27.In the following exercises, find the first term and common difference of the sequence with the given terms. Give the formula for the general term.. 106. The third term is -13 and the seventeenth term is 15.In the following exercises, find the sum of the first 30 terms of each arithmetic sequence. 107. 11,14,17,20,23,...In the following exercises, find the sum of the first 30 terms of each arithmetic sequence. 108. 12,18,24,30,36,...In the following exercises, find the sum of the first 30 terms of each arithmetic sequence. 109. 8,5,2,1,4,...In the following exercises, find the sum of the first 30 terms of each arithmetic sequence. 110. 16,10,4,2,8,...In the following exercises, find the sum of the first 30 terms of each arithmetic sequence. 111. 17,15,13,11,9,...In the following exercises, find the sum of the first 30 terms of each arithmetic sequence. 112. 15,12,9,6,3,...In the following exercises, find the sum of the first 50 terms of the arithmetic sequence whose general term is given. 113. an=5n1 In the following exercises, find the sum of the first 50 terms of the arithmetic sequence whose general term is given. 114. an=2n+7 In the following exercises, find the sum of the first 50 terms of the arithmetic sequence whose general term is given. 115. an=3n+5 In the following exercises, find the sum of the first 50 terms of the arithmetic sequence whose general term is given. 116. an=4n+3 In the following exercises, find each sum. 117. i=140(8i7)In the following exercises, find each sum. 118. i=145(7i5)In the following exercises, find each sum. 119. i=150(3i+6)In the following exercises, find each sum. 120. i=125(4i+3)In the following exercises, find each sum. 121. i=135(6i2)In the following exercises, find each sum. 122. i=130(5i+1)In your own words, explain how to determine whether a sequence is arithmetic.?In your own words, explain how the first two terms are used to find the tenth term. Show an example to illustrate your explanation.In your own words, explain how to find the general term of an arithmetic sequence.In your own words, explain how to find the sum of the first n terms of an arithmetic sequence without adding all the terms.Determine if each sequence is geometric. If so indicate the common ratio. (a) 7,21,63,189,567,1,701,... (b) 64,16,4,1,14,116,... (c) 2,4,12,48,240,1,440,...Determine if each sequence is geometric. If so indicate the common ratio. (a) 150,30,15,5,52,0,... (b) 5,10,20,40,80,160,... (c) 8,4,2,1,12,14,...Write the first five terms of the sequence where the first term is 7 and the common ratio is r=3.Write the first five terms of the sequence where the first term is 6 and the common ration is r=4.Find the thirteenth term of a sequence where the first term is 81 and the common ratio is r=13.Find the twelfth term of a sequence where the first term is 256 and the common ratio is r=14.Find the ninth term of the sequence 6,18,54,162,486,1,458,... Then find the general term for the sequence.Find the eleventh term of the sequence 7,14,28,112,224,... Then find the general term for the sequence.Find the sum of the first 20 terms of the geometric sequence 3,6,12,24,48,96,...Find the sum of the first 20 terms of the geometric sequence 6,18,54,162,486,1,458,...Find the sum: i=1156(2)i.Find the sum: i=1105(2)i.Find the sum of the infinite geometric series 48+24+12+6+3+32+...Find the sum of the infinite geometric series 64+16+4+1+14+116+...Write the repeating decimal 0.4 as a fraction.Write the repeating decimal 0.8 as a fraction.What is the total effect on the economy of a government tax rebate of $1,000 to each household in order to stimulate the economy if each household will spend 90% of the rebate in goods and services?What is the total effect on the economy of a government tax rebate of $500 to each household in order to stimulate the economy if each household will spend of the rebate in goods and services?New grandparents decide to invest 3200 per month in an annuity for their grandson, The account will pay interest per year which is compounded monthly. How much will be in the child's account at his twenty-first birthday?Arturo just got his first full-time job after graduating from college at age 27. He decided to invest $200 per month in an IRA (an annuity). The interest on the annuity is which is compounded monthly. How much will be in the Arturo's account when he retires at his sixty-seventh birthday?In the following exercises, determine if the sequence is geometric, and if so, indicate the common ratio. 127. 3,12,48,192,768,3072,...In the following exercises, determine if the sequence is geometric, and if so, indicate the common ratio. 128. 2,10,50,250,1250,6250,...In the following exercises, determine if the sequence is geometric, and if so, indicate the common ratio. 129. 48,24,12,6,3,32,...In the following exercises, determine if the sequence is geometric, and if so, indicate the common ratio. 130. 54,18,6,2,23,29,...In the following exercises, determine if the sequence is geometric, and if so, indicate the common ratio. 131. 3,6,12,24,48,96,...In the following exercises, determine if the sequence is geometric, and if so, indicate the common ratio. 132. 2,6,18,54,162,486,...In the following exercises, determine if each sequence is arithmetic, or geometric or neither. If arithmetic, indicate the common difference. If geometric, indicate the common ratio. 133. 48,24,12,6,3,32,...In the following exercises, determine if each sequence is arithmetic, or geometric or neither. If arithmetic, indicate the common difference. If geometric, indicate the common ratio. 134. 12,6,0,6,12,18,...In the following exercises, determine if each sequence is arithmetic, or geometric or neither. If arithmetic, indicate the common difference. If geometric, indicate the common ratio. 135. 7,2,3,8,13,18,...In the following exercises, determine if each sequence is arithmetic, or geometric or neither. If arithmetic, indicate the common difference. If geometric, indicate the common ratio. 136. 5,9,13,17,21,...In the following exercises, determine if each sequence is arithmetic, or geometric or neither. If arithmetic, indicate the common difference. If geometric, indicate the common ratio. 137. 12,14,18,116,132,164,...In the following exercises, determine if each sequence is arithmetic, or geometric or neither. If arithmetic, indicate the common difference. If geometric, indicate the common ratio. 138. 4,8,12,24,48,96,...In the following exercises, write the first five terms of each geometric sequence with the given first term and common ratio. 139. a1=4 and r=3 In the following exercises, write the first five terms of each geometric sequence with the given first term and common ratio. 140. a1=9 and r=2 In the following exercises, write the first five terms of each geometric sequence with the given first term and common ratio. 141. a1=4 and r=2 In the following exercises, write the first five terms of each geometric sequence with the given first term and common ratio. 142. a1=5 and r=3 In the following exercises, write the first five terms of each geometric sequence with the given first term and common ratio. 143. a1=27 and r=13 In the following exercises, write the first five terms of each geometric sequence with the given first term and common ratio. 144. a1=64 and r=14 In the following exercises, find the indicated term of a sequence where the first term and the common ratio is given. 145. Find a11 given a1=8 and r=3.In the following exercises, find the indicated term of a sequence where the first term and the common ratio is given. 146. Find a13 given a1=7 and r=2.In the following exercises, find the indicated term of a sequence where the first term and the common ratio is given. 147. Find a10 given a1=6 and r=2.In the following exercises, find the indicated term of a sequence where the first term and the common ratio is given. 148. Find a15 given a1=4 and r=3.In the following exercises, find the indicated term of a sequence where the first term and the common ratio is given. 149. Find a10 given a1=100,000 and r=0.1.In the following exercises, find the indicated term of a sequence where the first term and the common ratio is given. 150. Find a8 given a1=1,000,000 and r=0.01.In the following exercises, find the indicated term of the given sequence. Find the general term for the sequence. 151. Find a9 of the sequence, 9,18,36,72,144,288,...In the following exercises, find the indicated term of the given sequence. Find the general term for the sequence. 152. Find a12 of the sequence, 5,15,45,135,405,1215,...In the following exercises, find the indicated term of the given sequence. Find the general term for the sequence. 153. Find a15 of the sequence, 486,162,54,18,6,2,...In the following exercises, find the indicated term of the given sequence. Find the general term for the sequence. 154. Find a16 of the sequence, 224,112,56,28,14,7,...In the following exercises, find the indicated term of the given sequence. Find the general term for the sequence. 155. Find a10 of the sequence, 1,0.1,0.01,0.001,0.0001,0.00001,...In the following exercises, find the indicated term of the given sequence. Find the general term for the sequence. 156. Find a9 of the sequence, 1000,100,10,1,0.1,0.01,...In the following exercises, find the sum of the first fifteen terms of each geometric sequence. 157. 8,24,72,216,648,1944,...In the following exercises, find the sum of the first fifteen terms of each geometric sequence. 158. 7,14,28,56,112,224,...In the following exercises, find the sum of the first fifteen terms of each geometric sequence. 159. 6,12,24,48,96,192,...In the following exercises, find the sum of the first fifteen terms of each geometric sequence. 160. 4,12,36,108,324,972,...In the following exercises, find the sum of the first fifteen terms of each geometric sequence. 161. 81,27,9,3,1,13,...In the following exercises, find the sum of the first fifteen terms of each geometric sequence. 162. 256,64,16,4,1,14,116,...In the following exercises, find the sum of the geometric sequence. 163. i=115(2)i In the following exercises, find the sum of the geometric sequence. 164. i=110(3)i In the following exercises, find the sum of the geometric sequence. 165. i=194(2)i In the following exercises, find the sum of the geometric sequence. 166. i=185(3)i In the following exercises, find the sum of the geometric sequence. 167. i=1109( 1 3 )i In the following exercises, find the sum of the geometric sequence. 168. i=1154( 1 2 )i In the following exercises, find the sum of each infinite geometric series. 169. 1+13+19+127+181+1243+1729+...In the following exercises, find the sum of each infinite geometric series. 170. 1+12+14+18+116+132+164+...In the following exercises, find the sum of each infinite geometric series. 171. 62+2329+227281+...In the following exercises, find the sum of each infinite geometric series. 172. 4+21+1214+18...In the following exercises, find the sum of each infinite geometric series. 173. 6+12+24+48+96+192+...In the following exercises, find the sum of each infinite geometric series. 174. 5+15+45+135+405+1215+...In the following exercises, find the sum of each infinite geometric series. 175. 1,024+512+256+128+64+32+...In the following exercises, find the sum of each infinite geometric series. 176. 6,561+2187+729+243+81+27+...In the following exercises, write each repeating decimal as a fraction. 177. 0.3 In the following exercises, write each repeating decimal as a fraction. 178. 0.6 In the following exercises, write each repeating decimal as a fraction. 179. 0.7 In the following exercises, write each repeating decimal as a fraction. 180. 0.2 In the following exercises, write each repeating decimal as a fraction. 181. 0.45 In the following exercises, write each repeating decimal as a fraction. 182. 0.27 In the following exercises, solve the problem. 183. Find the total effect on the economy of each government tax rebate to each household in order to stimulate the economy if each household will spend the indicated percent of the rebate in goods and services.In the following exercises, solve the problem. 184. New grandparents decide to invest $100 per month in an annuity for their grandchild. The account will pay 6% interest per year which is compounded monthly (12 times a year). How much will be in the child's account at their twenty-first birthday?In the following exercises, solve the problem. 185. Berenice just got her first full-time job after graduating from college at age 30. She decided to invest $500 per quarter in an IRA (an annuity). The interest on the annuity is 7% which is compounded quarterly (4 times a year). How much will be in the Berenice's account when she retires at age 65?In the following exercises, solve the problem. 186. Alice wants to purchase a home in about five years. She is depositing $500 a month into an annuity that earns 5% per year that is compounded monthly (12 times a year). How much will Alice have for her down payment in five years?In the following exercises, solve the problem. 187. Myra just got her first full-time job after graduating from college. She plans to get a master's degree, and so is depositing $2,500 a year from her year-end bonus into an annuity. The annuity pays 6.5% per year and is compounded yearly. How much will she have saved in five years to pursue her master's degree?In your own words, explain how to determine whether a sequence is geometric.In your own words, explain how to find the general term of a geometric sequence.In your own words, explain the difference between a geometric sequence and a geometric series.In your own words, explain how to determine if an infinite geometric series has a sum and how to find it.Use Pascal’s Triangle to expand (x+y)5.Use Pascal’s Triangle to expand (p+q)7.Use Pascal’s Triangle to expand (x+2)4.Use Pascal’s Triangle to expand (x+1)6.Use Pascal’s Triangle to expand (2x3)4.Use Pascal’s Triangle to expand (2x1)6.Evaluate each binomial coefficient: (a)(61) (b)(88) (c)(50) (d)(73)Evaluate each binomial coefficient: (a)(21) (b)( 11 11) (c)(90) (d)(65)Use the Binomial Theorem to expand (x+y)5.Use the Binomial Theorem to expand (m+n)6.Use the Binomial Theorem to expand (x3)5.Use the Binomial Theorem to expand (y1)6.Use the Binomial Theorem to expand (3x2y)5.Use the Binomial Theorem to Expand (4x3y)4.Find the third term of (x+y)6.Find the fifth term of (a+b)8.Find the coefficient of the x5 term of (x+4)8.Find the coefficient of the x4 term of (x+2)7.In the following exercises, expand each binomial using Pascal’s Triangle. 192. (x+y)4 In the following exercises, expand each binomial using Pascal’s Triangle. 193. (a+b)8 In the following exercises, expand each binomial using Pascal’s Triangle. 194. (m+n)10 In the following exercises, expand each binomial using Pascal’s Triangle. 195. (p+q)9 In the following exercises, expand each binomial using Pascal’s Triangle. 196. (xy)5 In the following exercises, expand each binomial using Pascal’s Triangle. 197. (ab)6 In the following exercises, expand each binomial using Pascal’s Triangle. 198. (x+4)4 In the following exercises, expand each binomial using Pascal’s Triangle. 199. (x+5)3 In the following exercises, expand each binomial using Pascal’s Triangle. 200. (y+2)5 In the following exercises, expand each binomial using Pascal’s Triangle. 201. (y+1)7 In the following exercises, expand each binomial using Pascal’s Triangle. 202. (z3)5 In the following exercises, expand each binomial using Pascal’s Triangle. 203. (z2)6 In the following exercises, expand each binomial using Pascal’s Triangle. 204. (4x1)3 In the following exercises, expand each binomial using Pascal’s Triangle. 205. (3x1)5 In the following exercises, expand each binomial using Pascal’s Triangle. 206. (3x4)4 In the following exercises, expand each binomial using Pascal’s Triangle. 207. (3x5)3 In the following exercises, expand each binomial using Pascal’s Triangle. 208. (2x+3y)3 In the following exercises, expand each binomial using Pascal’s Triangle. 209. (3x+5y)3 In the following exercises, evaluate. 210. (a) (81) (b) ( 10 10) (c) (60) (d) (93)In the following exercises, evaluate. 211. (a) (71) (b) (44) (c) (30) (d) ( 108)In the following exercises, evaluate. 212. (a) (31) (b) (99) (c) (70) (d) (53)In the following exercises, evaluate. 213. (a) (41) (b) (55) (c) (80) (d) ( 119)In the following exercises, expand each binomial. 214. (x+y)3 In the following exercises, expand each binomial. 215. (m+n)5 In the following exercises, expand each binomial. 216. (a+b)6 In the following exercises, expand each binomial. 217. (s+t)7 In the following exercises, expand each binomial. 218. (x2)4 In the following exercises, expand each binomial. 219. (y3)4 In the following exercises, expand each binomial. 220. (p1)5 In the following exercises, expand each binomial. 221. (q4)3 In the following exercises, expand each binomial. 222. (3xy)5

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