Question

On the first week of working out, Steve does 10 sit-ups. He hopes to double that amount every month. What is the recursive formula for the number of sit-ups Steve does each month?

A) S(n) = S(n-1) + 2
B) S(n) = 10n
C) S(n) = S(n-1) * 2
D) S(n) = 10 + 2n

Answer 1

The recursive formula for Steve's monthly sit-ups, which doubles each month from 10, is S(n) = S(n-1) * 2.

Step-by-step explanation:

The recursive formula for the number of sit-ups Steve does each month, given that he doubles the number each month from a starting point of 10, is C) S(n) = S(n-1) * 2. This is because each month, the amount of sit-ups is the previous month's amount multiplied by 2. To write the recursive formula, we denote S(n) as the number of sit-ups in the nth month, and S(n-1) as the number of sit-ups in the previous month.