Question

write a recursive formula for $a_n$, the $n^{\text{th}}$ term of the sequence 1, 5, 25, 125, .... answer attempt 1 out of 2 $a_1 = \square$ $a_n = \square$ submit answer $a_{n - 1}$

Explanation:

Step1: Identify first term

The first term of the sequence is given as 1, so $a_1 = 1$.

Step2: Find recursive relation

Each term is 5 times the prior term:
$a_n = 5 \cdot a_{n-1}$ for $n \geq 2$.

Answer:

$a_1 = 1$
$a_n = 5a_{n-1}$ (for $n \geq 2$)