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Fill in the blank with the recursive function. Be sure to include the starting point.
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
=
, starting at
.

Respuesta :

frika

Answer:

The recursive  function that represents the number of books Ashley has at any time is

[tex]a_n=a_{n-1}-n[/tex]

starting at

[tex]a_1=100[/tex]

Step-by-step explanation:

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

So,

[tex]a_1=100\\ \\a_2=100-n=a_1-n\\ \\a_3=a_2-n\\ \\...\\ \\a_n=a_{n-1}-n[/tex]

Thus, the recursive  function that represents the number of books Ashley has at any time is

[tex]a_n=a_{n-1}-n[/tex]

starting at

[tex]a_1=100[/tex]

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