Question

Shannon started a savings account by putting in 15.in the 1 week she deposited 10 and plans to countine depositing 10 each week

Answer 1

The recursive formula for the sequence can be expressed as follows:

`S_n =S_((n-1)) +15`

Let's denote the amount of money in Shannon's savings account after n weeks as S_n . The initial deposit is $25, and each subsequent deposit is $15.

The recursive formula for the sequence can be expressed as follows:

`S_n =S_((n-1)) +15`

This formula states that the amount of money in the account after n weeks (S_n ) is equal to the amount in the account after n−1 weeks (S_n−1) plus the additional $15 deposited each week.

Question

Shannon started a savings account by putting in $25. On the 1st week shedeposited $15 and plans to continue depositing $15 each week.What is the recursive formula for the sequence represented by Shannon'sdeposits.