An arithmetic sequence is a sequence in which each term after the first differs from the preceding term by a constant amount. The difference, d, between consecutive terms is calle the common difference of the sequence.

Q: What is a geometric sequence? Write an expression for the nth term of a geometric sequence that has…

A: Geometric Sequence: A sequence in which each term is found by multiplying the previous term by a…

Q: Write the first four terms of the sequence defined by the recursive 2+an-1 formula a1 = -14 . /(5…

A: The solution are next step

Q: For an arithmetic sequence, a17 a1 = the sum of the first 65 terms= > Next Question - 47. If the…

A: It is given that, a17=47 and common difference(d)=5 a1=? Sum of the first 65 terms=?

Q: Find the specified term of the arithmetic sequence that has the two given terms.a12; a1 = 9.1,…

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Q: in an arithmetic sequence, the first term, a1, is equal to 1, and the seventh term, a7, is equal to…

A: The nth term of an arithmetic sequence is given by an = a1 + (n – 1)d where a1 is the first term and…

Q: Find the common difference d and the nth term an of the arithmetic sequence

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Q: Find a formula for the nth term of the arithmetic sequence. First term 1.7 Common difference 0.5

A: Find a formula for the nth term of the arithmetic sequence. First term 1.7 Common difference 0.5

Q: Find the nth term of the arithmetic sequence {a,} whose initial term a and common difference d are…

A: The question is solved for arithmetic sequence

Q: An arithmetic sequence is defined as consecutive terms that have a common difference. O True O False

A: NOTE: Refresh your page if you can't see any equations. . the nth term of the arithmetic sequence is…

Q: Write an expression for the geometric sequence with first term a = 3 and common ratio r =1/ 2 . Give…

A: An expression for the geometric sequence with first term a = 3 and common ratio r =1/ 2 will be =…

Q: Write a formula for the general term (the nth term) of the arithmetic sequence whose second term,…

A: The second term, a2, is 4 The sixth term, a6, is 16. Formula used: an=a1+n-1d where a1 is first term…

Q: If the 100th term of an arithmetic sequence is 584, and its common difference is 6, then its first…

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Q: In an arithmetic sequence , if ag = -12 and ag = -31, then the common difference d is O 19 O -22 O…

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Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

A: Given: 3, -6, 12, -24, . . . . is the geometric sequence. To find: the sum of the first 11 terms of…

Q: Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and…

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Q: In an arithmetic sequence, a, = -3 and d = -5. What is a4?

A: The nth term of an arithmetic sequence is an=a+n-1d Here,  a= first termd= common difference Now,…

Q: True or False For an arithmetic sequence {an } whose firstterm is a1 and whose common difference is…

A: Arithmetic sequence

Q: In an arithmetic sequence , if a2 = -1 and -11 , then the common difference d is | 10 -10 -21 12 -13

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Q: Q1. Write out the first four terms of the sequence and determine whether the sequence is converging.

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Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the sixth term…

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Q: Find the specified term of the arithmetic sequence that has the two given terms.a10; a2 = 1, a18 =…

A: We have to find a10 of the arithmetic sequence which has given two terms: a2=1 and a18=49. We know…

Q: Find the specified term of the arithmetic sequence that has the two given terms.a1; a6 = 2.7,…

A: To find: The first term a1 of the arithmetic sequence. Given: The sixth term a6 of the sequence is…

Q: Write a formula for the general term (the nth term) of the geometric sequence, 18, 6, 2, 2/3, . . .…

A: Given geometric sequence is 18,6,2,23,....... Here, first term a1=18 Common ratio, r=618=13 Formula…

Q: Write a formula for the general term (the nth term) of the geometric sequence, 0.0004, -0.004, 0.04,…

A: Consider the given sequence 0.0004,-0.004,0.04,-0.4,...

Q: Is the following an arithmetic sequence? State yes or no, and explain how you know. If it is…

A: Here, we will find general nth term and will check if our term is correct or not.

Q: Find the 19th term of the arithmetic sequence whose common difference is d=3 and whose first term is…

A: We know that the nth term can be found as an=a+(n−1)d where a is the initial term and d is the…

Q: B. Write the first five terms of the arithmetic sequence whose first term is a, and whose common…

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Q: Find x so that x, (x + 2), and (x + 3) are consecutive terms of a geometric sequence.

A: In this question, we will find the value of x which will satisfy the conditions of a geometric…

Q: What is a common ratio of the geometric sequence whose first term is 5 and third term is 245? 5 1)7…

A: The geometric series has first term is 5 and the third term is 245   Geometric sequence formula:…

Q: Find the specified term of the arithmetic sequence that has the two given terms.a1; a8 = 47, a9 = 53

A: The general arithmetic sequence will be of the form a,a+d,a+2d+a+3d,....., where a is the initial…

Q: The middle term of an arithmetic sequence equals 17, the last term = 32, and the fourth term = 11.…

A: Given middle term = 17 Last term = 32 Fourth term = 11 T4 = a+3d = 11 Middle term = T6 = a+5d = 17…

Q: In an arithmetic sequence, a = 19 and a, = 31. Determine a formula for a, the n" term of this…

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Q: For an arithmetic sequence, a17 = 2. If the common difference is 5, find: aj = the sum of the first…

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Q: The first two terms of the arithmetic sequence are given. Find the missing term. a1 = -0.6, a2 = -14…

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Q: An arithmetic sequence will always have a common ratio. O True O False

A: In an Airthmetic sequence the difference between one term and the next is a constant.We just add the…

Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the 50th term…

A: Given, A1=4  d=8 n=50

Q: An arithmetic sequence is a sequence in which the___between successive terms is constant.

A: An arithmetic sequence is a sequence in which  the difference between successive terms is…

Q: For sequence A, describe a way to produce each new term from the previous term. Sequence A term…

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Q: A geometric sequence has 7 terms, if the first term is 4 and the last term is 256, then the middle…

A: In this question we are given with that the series is it geometric sequence and we are given with…

Q: In an arithmetic sequence the ratio of the third to the eight term is 6:1 and the sum of the third…

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Q: In an arithmetic sequence, the first term is -8 and the sum of the first 20 terms is 790 Whats the…

A: By using sum of arithmetic sequence formula, we calculate the common difference of arithmetic…

Q: Let the arithmetic sequence be defined by the formula a = 5 + (n-1) * 7 Apply the concepts of adding…

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Q: The first three terms of a geometric sequence are lnx16, lnx 8, lnx 4, for x > 0. Find the common…

A: Here given three terms in geometrical sequence. We have to calculate common ratio.

Q: Write a formula for the general term (the nth term) of the geometric sequence, 12, 6, 3, 3/2, . . .…

A: Consider the following geometric sequence: 12, 6, 3, 32, ... First term of the sequence is 12. a=12…

Q: th For a given arithmetic sequence, the 36 term, a36, is equal to 142, and the 87 term, ag7, is…

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Q: Which explicit formula represents an arithmetic sequence with a first term of 19 and a common…

A: Given: a first term of 19 and a common difference of 4 a=19  and common difference d= 4 The general…

Q: The general term of a sequence is given an = -2(n - 1)! and involves a factorial. Write the first…

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Q: The fourth term of an arithmetic sequence is 14, and the 20th term is 110. Find the common…

A: As we know that the nth term of the arithmetic sequence is: tn=a+(n-1)d Where 'a' is the first term…

Q: Write a formula for the general term (the nth term) of the geometric sequence, 5, -1, 1/5, - 1/25, .…

A: Given: The geometric sequence 5,-1,15, -125... To determine: Seventh term of the sequence, a7.