Given two terms in an arithmetic sequence find the explicit formula. a = 105 and a = 203 16 30

Q: Consider the arithmetic sequence with a1= 2 and d=3 write the first five terms of the sequence find…

A: For the Arithmetic sequence, given data are, First term  a1 = 2 common difference d = 3 The nth term…

Q: Given the arithmetic sequence 6,-1,-8,-15,-22. Find the 25 term

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Q: Given the geometric sequence: 22 242 ао — 2, а1 — a2 = 13 169 ' find a formula for the n-th term:

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Q: Given a term in an arithmetic sequence and the common difference find the explicit formula.

A: Let  a sequence is    a,  a+d, a+2d, a+3d, a+4d,.....     , where  First term = a  and   Common…

Q: In an arithmetic sequence (a1, a2, a3, the first term is 5 and the 15th term is 61, then S15 is 555…

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Q: a) Let an be an arithmetic sequence. If as 94, a6 = 85, find the common difference d and the formula…

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Q: a) Find a formula for the nth term of the sequence. 1, 1/8, 1/27, 1/64, . . .   b) Write the first…

A: Explanation of the solution is given below....

Q: Given the geometric sequence: 40 400 a1 = 4, a2 a3 9 ... 81 find a formula for the nth term: an %3D

A: Given problem:- a1 = 4 , a2 =40/9 , a3 = 400/81 .....  find nth term of given geometric series

Q: Given the geometric sequence: -4, -2, -1, -1/2, . A) Find the formula for the nth term, an B) Find…

A: Infinite geometric sequence : Consider the infinite geometric sequence          a ,ar , ar2 ,ar3…

Q: Given the arithmetic sequence a, = 2n – 4 a) find the common difference b) find the sum of the first…

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Q: Write a formula for the general term (the nth term) of the geometric sequence 100, 10, 1, 1/10, . .…

A: 100, 10, 1, 110, ........ Here, a=First term=100r=common ratio=second termfirst term=10100=110

Q: Given the arithmetic sequence: -16, -22, -28, -34, .. A) Find the formula for the nth term, an B)…

A: A detailed solution is given below

Q: Given the geometric sequence: 156 a2 1872 ao = 13, a1 11 121 find a formula for the n-th term: an =…

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Q: Da =-4. 3"-1

A: The given geometric sequence is,

Q: Given the geometric sequence: 35 175 ao = 7, a1 , a2 = 9. 81 find a formula for the n-th term:

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

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Q: Given the geometric sequence: -4, -2, -1, -1/2, .. A) Find the formula for the nth term, an B) Find…

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Q: a. Write a nonrecursive formula for the nth term of the arithmetic sequence {a,} based on the given…

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Q: Write a formula for the general term (the nth term) of the geometric sequence 3, 15, 75, 375,. . . .…

A: Write the first term a and common ratio r of the sequence.

Q: Given the geometric sequence: 40 320 a1 = 5, a2 , a3 = ... 81 ' find a formula for the nth term: An…

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Q: The sixth and eighth terms of an arithmetic sequence are -12 and -22. Find the fifteenth term. a15

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

A: The given geometric sequence: 32, 38,332,.....

Q: Given the geometric sequence: 7 49 ao = 5, a1 a2 2 .. 20' find a formula for the n-th term: An

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Q: (a) Write a nonrecursive formula for the n term of the arithmetic sequence {a based on the given…

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Q: Given a term in an arithmetic sequence and the common difference find the 52nd term and the explicit…

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Q: Given the geometric sequence: 55 605 ao = 5, a1 49 find a formula for the n-th term: an = Preview

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

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Q: Find the indicated term of the geometric sequence. an= (n-1) 6, where a1 = -2. Find a4. %3D a4=

A: We will solve the given question using two different methods. In the first method we will solve step…

Q: Given 2 terms in a geometric sequence find the term a9  and the explicit formula given a5 =48 and a4…

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Q: Given the first term and the common difference of an arithmetic sequence find the first five terms…

A: 1). We know that the common difference  d = 10 and a1=28 .The general formula for an arithmetic…

Q: Write a formula for the general term (the nth term) of the geometric sequence 1.5, -3, 6, -12, . . .…

A: Consider the given geometric sequence 1.5 , -3 , 6 , -12, ... Since the terms of the geometric…

Q: Given the first four terms in an arithmetic sequence, find the recursive formula. 39, 34, 29, 24

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Q: 10. Find the sum of the first 40 terms of the arithmetic sequence {1,6, 11, 16, . ..}. Make sure to…

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Q: Given the geometric sequence: 35 245 ао — Е 5, а1 — a2 3 find a formula for the n-th term: An

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Q: Given the recursive formula for an arithmetic sequence find the first five terms. A (1) = -34, A (n)…

A: we have given the recursion formula for a arithmetic sequence.  We have to find the first five terms…

Q: Given two terms in an arithmetic sequence find the explicit formula for the nth term. a14 = -400 and…

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Q: n-1 a =2 .

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Q: th (a) Write a nonrecursive formula for the n term of the arithmetic sequence a based on the given…

A: Given a1=120 and d=4

Q: Find the common ratio and write out the first four terms of the geometric sequence (1.03)" n-1…

A: The nth term of the geometric sequence is given by an = 1.03n-1…

Q: Given the arithmetic sequence: -16, -22, -28, -34,.. A) Find the formula for the nth term, an B)…

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Q: Write an explicit formula for each sequence. Find the 12th term. , =a, +(n-1)d 2. 7, 14, 21, 28, 35,…

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Q: {an} is a geometric sequence. a5 = 2, ag = -54 find a 11

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Q: Find the explicit formula of an arithmetic sequence with the given pr d = 12, and a6 = 68 %3D %3D

A: Topic:- sequence and series

Q: Write a formula for the general term the nth term of the geometric sequence 3, 12, 48, 192,.... Then…

A: Given: Sn= 3, 12, 48, 192,....  Formula used: For geometric series, Sn= a, ar, ar2, ar3,.....…

Q: Find a formula for a, for the arithmetic sequence. a = 102, d= - 6

A: the  formula for an is given by an=a1+n-1d where a1 is the first term and d is the common…