Question

What is the recursive formula of the geometric sequence?
1, 5, 25, 125, 625, ...

Answer 1

The recursive formula of the geometric sequence is given by option D; an = (1) × (5)^(n - 1) for n ≥ 1

How to determine recursive formula of a geometric sequence?

Given: 1, 5, 25, 125, 625, ...

• first term, a = 1

• Common ratio, r = 25/5

= 5

• n = number of terms

an = a × r^(n - 1)

= 1 × 5^(n - 1)

an = (1) × (5)^(n - 1) for n ≥ 1

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