Question

2, 10, 50, 250, ...
Write a recursive formula for

Answer 1

`a_(n)` = 5
`a_(n-1)`

Explanation:

The sequence has a common ratio r between consecutive terms, that is

r = 10 ÷ 2 = 50 ÷ 10 = 250 ÷ 50 = 5

Thus the sequence is geometric with recursive formula

`a_(n)` = 5
`a_(n-1)`