Question

Victoria opened a savings account with $1100 that pays no interest. She deposits an additional $140 each week thereafter. Write a recursive formula to show how much money Victoria has in the account n weeks after opening the account.

Answer 1

Given:

a.) Victoria opened a savings account with $1100 that pays no interest.

b.) She deposits an additional $140 each week thereafter.

Let,

n = number of weeks after opening the account

Generating rating the recursive formula of the given scenario,

`\text{ A}_n=A_{n\text{ - 1}}+d`

Since she deposits an additional $140 each week thereafter, d must be equal to 140.

We get,

`\text{ A}_n=A_{n\text{ - 1}}+140;A_0\text{ = 1100}`