overrated3245w

overrated3245w

Answered

2022-09-04

Find the recursive formula... a1=-4 and a4=-500 if given the two terms in a geometric sequence

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Olleschauvh

Olleschauvh

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2022-09-05Added 4 answers

In a geometric sequence, if a is the first term and r is the ratio between a term and its preceding term, then n t h term is given by a × r n - 1 .
Here a = a 1 = - 4 and as fourth term is −500
- 4 × r 4 - 1 = - 500 or 4 r 3 = 500 or r 3 = 125 and hence
r = 125 3 = 5 × 5 × 5 3 = 5
Hence recursive formula is a 1 = - 4 and a n + 1 = 5 a n

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