Question

Shannon started a savings account by putting in $25. On the 1st week she

deposited $15 and plans to continue depositing $15 each week.
What is the recursive formula for the sequence represented by Shannon's
deposits.

Answer 1

Answer: S(w) = $25 + $15*w

Explanation:

We can model this with a linear equation:

First, she deposits $25 in the savings account, she does this only one time, then this will be the constant term.

Now in each week, she puts another $15, and does this each week after that.

Then we can write this with the model:

S(w) = $25 + $15*w

Where w is the number of weeks that had been passed since the first deposit.