Leanne has a gas card that has $150 on it. she spends $25 a week on gas. write and recursive rule that represents the amount of money she has on her gas card after the first week

In this question, it is given that

Leanne has a gas card that has $150 on it. She spends $25 a week on gas.

And we have to Write a recursive rule that represents the amount of money she has on her gas card after the first week  .

Recursive rule shows the relationship between previous value and the current value .

And here, the recursive rule is

Where a(n-1) is the initial amount which is $150 . And a(n) is the amount after n week .

So for n=1, that is amount in the card after 1 week, we will get

And that's the amount remaining in the card after 1 week .