Ashley has 100 books that she wants to give away at the rate of n books per week. write a recursive function that represents the number of books ashley has at any time. the recursive function that gives the number of books ashley has at any time is

  , where w is the number of weeks (natural number) .

Step-by-step explanation:

Given: Ashley has 100 books that she wants to give away at the rate of n books per week.

Let 'w' be the number of weeks .

Then after first week w=1,

The number of books Ashley has after first week =

[Since she wants to give away at the rate of n books per week.]

Then after second week w=2,

The number of books Ashley has after second week =

Then after third week w=3,

The number of books Ashley has after third week =

Similarly for w weeks, the number of books Ashley has after w weeks =

Hence, the recursive function that gives the number of books Ashley has at any time is , where w is the number of weeks.