Question

Consider a sequence that follows a times 5 pattern: 1, 5, 25, 125, ...

Write a formula to the nth term of the sequence.

Answer 1

the answer is 5n-1
ope this helps :)

Answer 2

This is a geometric sequence, and the 1st term is 1. To get to the nth term, we know that we must multiply 5 a number of times to 1. We use the second number as our example. We see that we multiply 5 only once. Same logic with the third number of the sequence: we multiply 5 twice. We see that the nth number is just the first term multiplied by 5 n - 1 times. Therefore our answer is
`1 * 5^(n-1)`