A geometric sequence is defined by the explicit formula an = 5 (-4) n-1. What is the recursive formula for the nth term of this sequence?

A. an = - 5an-1

B. an+1 = 4an

C. an+1 = 5an

D. an = - 4an-1

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Mathematics

27 June, 18:21

A geometric sequence is defined by the explicit formula an = 5 (-4) n-1. What is the recursive formula for the nth term of this sequence?

A. an = - 5an-1

B. an+1 = 4an

C. an+1 = 5an

D. an = - 4an-1

+5

Answers (1)

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Riley Clarke · Answer 1

An = 5 (-4) ^ (n - 1)

an + 1 = 5 (-4) ^ (n + 1 - 1) = 5 (-4) ^n

an = 5 (-4) ^ (n - 1) = 5 (-4) ^n / (-4) = an + 1 / (-4)

an + 1 = - 4an

an + 1 - 1 = - 4 an - 1

an = - 4an - 1

A geometric sequence is defined by the explicit formula an = 5 (-4) n-1. What is the recursive formula for the nth term of this sequence?A. an = - 5an-1B. an+1 = 4anC. an+1 = 5anD. an = - 4an-1

A geometric sequence is defined by the explicit formula an = 5 (-4) n-1. What is the recursive formula for the nth term of this sequence?

A. an = - 5an-1

B. an+1 = 4an

C. an+1 = 5an

D. an = - 4an-1