If the 100th term of an arithmetic sequence is 589, and its common difference is 6, then its first term a1 = its second term a2 %3D its third term a3 %3D

Q: The 12th term of an arithmetic sequence is 59, and the fifth term is 31, Find the 20th term. 820 =

A: Topic = Sequence

Q: If the third term of a geometric sequence is 12,500 and the sixth term is 800 find the first term…

A:

Q: Find the 20"" term of the arithmetic sequence whose common difference is d= 5 and whose first term…

A: The formula to find the nth term in arithmetic sequence is given below: an=a1+n-1d where, a1 is the…

Q: The sixth term Of a geometric sequence consisting of positive integers is 96 and the tenth term is…

A:

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: If the 100th term of an arithmetic sequence is 200, and its common difference is 2, then its first…

A: Given an arithmetic sequence100th term of this A.P=a100=200common  difference=d=2

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: For an arithmetic sequence, a25 32. If the common difference is 1, find: a1 = the sum of the first…

A:

Q: The 20th term of an arithmetic sequence is 96, and the common difference is 5. Find the nth term.

A:

Q: Find the first term of an arithmetic sequence if the 9th term is 72 and the common difference is 5.…

A:

Q: Find the 16"" term of the arithmetic sequence whose common difference is d= 8 and whose first term…

A: The first term of the arithmetic sequence is 2 and common difference is 8. To find the 16th term of…

Q: Find the 28th term of an arithmetic sequence where the fourth term is 33 and the tenth term is 15.…

A: Find the common difference, d:

Q: The second term of a geometric sequence is 10, and the fifth term is 1250/27 . Find the nth term.

A:

Q: Find the tenth term of the geometric sequence withfirst term 48 and common ratio - 1/2.

A: The give sequence is geometric sequence. first term is 48 and common ratio is -12. General term of…

Q: An arithmetic sequence is a sequence in which each term after the first differs from the preceding…

A: Given That: Definition of Arithmetic sequence.

Q: The third term of a geometric sequence is 5, and the sixth term is -40. Find the eighth term.

A: The nth term of a geometric sequence is given by an=a1rn-1, where a1 is the first term of the…

Q: Find the 12th term of the geometric sequence 5, 20, 80, ...

A:

Q: If the general term of an arithmetic sequence is :- 1 2n. T(n) = %3D then the

A:

Q: For an arithmetic sequence, a4 = 60. If the common difference is 7, find: aj = the sum of the first…

A:

Q: If the general term of an arithmetic sequence is a(n) = 7n - 3, find the sum of the first 7 terms of…

A:

Q: Find the thirteenth term of the geometric sequence from the given information. Express the term as…

A:

Q: The first term of an arithmetic sequence is 10, and the tenth term is 2.(a) Find the common…

A: a = 10 ,   a10 = 2   Using an = a + n - 1da a10 = a +  n - 1 d         2  = 10 + 9 d2 - 10  = 9d…

Q: is equal to 240, and the 5" term, ac, is equal to 36. a73 term, For a given arithmetic sequence, the…

A: A sequence is funfction  from the set of natural numbers to the set of real numbers. A sequennce can…

Q: Find the 22nd term of the arithmetic sequence whose common difference is d= -5 and whose first term…

A: We have to find 22nd term of the arithmetic sequence whose common difference is d=-5 and first term…

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: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.3, 2.7, 2.4,…

A: Given information: The arithmetic sequence is 3, 2.7, 2.4, 2.1,.... Concept used: The nth term of…

Q: The first term of a geometric sequence is 12, and the third term is 16/3. Find the fifth term.…

A: Given that first term of the geometric sequence is 12. Third term of the third term is 16/3. We have…

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

A:

Q: If the 100th term of an arithmetic sequence is 902, and its common difference is 9, then its first…

A: A sequence is a function with domain being the set of natural numbers and the range being the set of…

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: For a given arithmetic sequence, the 29 term, a,o, is equal to 243, and the 89" term, ago, is equal…

A:

Q: Find the 24th term of the arithmetic sequence if the first term is 3 and common ratio is 2.

A: First term =  a1 = 3  Common ratio = r = 2  We have to find a24 .

Q: The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the common difference.

A: The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the common difference.

Q: The 7th term of an arithmetic sequence is −41, and the common difference is −2. Find the first term.

A:

Q: If the 100th term of an arithmetic sequence is 476, and its common difference is 5, then its first…

A:

Q: The fifth term of an arithmetic sequence is 24, and the sum of the first 10 terms is 265. Write the…

A:

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

A:

Q: 1. Find the first 11 terms of an arithmetic sequence in which the third term is 10 and the eleventh…

A:

Q: An arithmetic sequence has a common difference equal to 10 and its 6th term is equal to 52. Find its…

A:

Q: If the 100th term of an arithmetic sequence is 213, and it's common difference 2, then what is the…

A:

Q: If the third and fourth terms of an arithmetic sequence are 12 and 16, what are the first and second…

A:

Q: 3. Find the 23Td term of the arithmetic sequence whose common difference is d = 4 and whose first…

A: Find the 23rd term of the arithmetic sequence

Q: If the sixth term of a geometric sequence is 972, and the tenth term is 78732, what is the first…

A: Sixth term of G.P is 972 Tenth term of G.P is 78732 T6=ar6-1=972......equation 1…

Q: Find the indicated term of the geometric sequence. 10) 8th term of 1, 10) 11

A:

Q: Find the 15th term of the arithmetic sequence whose common difference is d = 7 and whose first term…

A:

Q: If the fifth term of a geometric sequence is 64/27 and the sixth term is 256/81 , find the sum of…

A: Let the G.P. is a, ar, ar2, ar3, . . .arn-1 Sum of first n terms is given by, Sn=a(rn-1)r-1, r>1…

Q: Find the 22" term of the arithmetic sequence whose common difference is d=2 and whose first term is…

A:

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

A: the nth term of the arithmetic sequence is given by an=a1+n-1d here we have a1=4,   d=3 an=4+n-13…

Q: <th For a given arithmetic sequence, the 6 term, a, is equal to 26, and the 35 term, azs, is equal…

A: Let a be first term of A.P.  And, d be the common difference, then

Q: The tenth term of an arithmetic sequence is 32, and the fifth term is 16. Find a, d, and the 20th…

A: Given: The tenth term of the arithmetic sequence is 32. The fifth term of the arithmetic sequence is…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.