n-1 a =2 . Given the explicit formula for a geometric sequence find the first five terms and the 8th term.

Q: Given two terms in a geometric sequence find the common ratio, the explicit formula, and the…

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Q: Given two terms in a geometric sequence find the explicit formula for the nth term. a2 = 4 and a = 1…

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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: Find an explicit formula for the geometric sequence -25,-50,-100,-200, .. Note: the first term…

A: d(1) = -25 Common ratio of G.P. = d2d1= -50-20 Common ratio of G.P. = 2

Q: Given the explicit formula for an arithmetic sequence find the common difference, the first five…

A: Here the given explicit formula for an arthmetic sequence is        an=-3+9nCommon difference for…

Q: Given the first term and the common ratio of a geometric sequence find the first five terms and the…

A: We can find the answers using the properties of geometric progression as below

Q: Use the formula for the sum of the first n terms of an arithmetic sequence to find:

A: Given: ∑i=150 4i-25 The sequence is ∑i=150 4i-25=-21,-17,-13, -9.........upto 50th term

Q: Given the geometric sequence: 35 az = 3 245 a1 = 5, a2 = 9. find a formula for the nth term: an =

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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: Write an explicit formula for an, the n' th term of the sequence 4, –20, 100, ....

A: Here we have to write an explicit formula for an  In the given sequence    a1 = 4 , a2 = -20 , a3 =…

Q: 4) a̟= a+30 а 3 а n -1 a =-16 1

A: Ans:-Given the recursive formula an=an-1+30 ..........(1) a1=-16put n=2,thena2=a1+30=-16+30=14put…

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: The sequence given by a, = ar"- is a geometric sequence in which a is the first term and r is the So…

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Q: Lan=Z,5 .4n-1

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Q: For the given geometric sequence. Find the sum of the first 6 terms of 3, -6, 12, ….

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Q: In a certain geometric sequence, the eighth term is 100 and the common ratio is -(3/2). Find the…

A: Let the first term be a so the sequence will be a, ar, ar2, ar3 ....... The eighth term is 100…

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

A: We need to find the sum of the first five terms of the geometric sequence:  4/3, 8/3, 16/3 . . .

Q: Find a formula for the nth term of the given geometric sequence. 7, 28, 112,

A: Given: 7,  28,  112,  ...

Q: Da =-4. 3"-1

A: The given geometric sequence is,

Q: Given the explicit formula for a geometric sequence find the first 5 terms and the 8th term see…

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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: 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: Given the explicit formula for an arithmetic sequence find the common difference, the first five…

A: Topic- sequence and series

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: 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: Given the explict formula for a geometric sequence find the common ratio, the first five terms, and…

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Q: Given the explicit formula for a geometric sequence find the first five terms and the 8th term. 6)…

A: Given, The explicit formula for geometric sequence  an= -3×(-2)n-1 To find the first five terms plug…

Q: The first term of a geometric sequence is 3. The third term of that geometric sequence is 432. Find…

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Q: Find the first four terms and the eighth term of the sequence.

A: Our Aim is to find four terms and the eighth term of the sequence given below:-3n-2n2+1-(i)

Q: a = 3"- 1

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Q: Given the first term and the common ratio of a geometric sequence, find the first five terms and…

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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: a = 5, a,+1=-3a,

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Q: Given the geometric sequence: 100 ao 12, ај — 20, а2 3 find a formula for the n-th term: An

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Q: Given the geometric sequence: 40 4, aj = 11 400 ao a2 = 121 find a formula for the n-th term:

A: The given geometric series is,a0=4,a1=4011,a2=400121,.....

Q: E 4(-2)i i = 1 in

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Q: A geometric sequence has the following two terms: 25 and 3 15625 az = a7 = 243 Write the explicit…

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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 a geometric sequence whose first term is 3 and its common ratio is Find i) the 8 term, ii) the…

A: a=3  &  r=12. i. Eighth term is, T8=ar7    ∵Tn=arn-1=3127=3128

Q: Find the common ratio and write out the first four terms of the geometric sequence 7n+3 6 Common…

A: Common ratio is a2/a1

Q: Given the explicit formula for a geometric sequence find the first five terms and the 8th term. 7)…

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

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Q: Given the explicit formula for an arithmetic sequence find the first five terms and the 52nd term:…

A: Given, an = -10n - 26 for 1st term n = 1 ,  a1 = -10 *1  - 26 = -36 for 2nd term n = 2 ,  a2 = -10…

Q: Use the formula for S, to find the sum of the first five terms of the geometric sequence. 5 5 15,…

A: Consider the sequence, 15,  -5,  53,  -59, ......................... The sum of the first “n” term…

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