Question

please help 1.Bryce started with $450 in a bank account that does not earn interest. In the middle of every month, he withdraws 1/2 of the account balance. Which recursive function rule models Bryce’s balance at the end of each month?

Answer 1

Since during middle of each month, Bryce withdraws half of his amount. So at the end of each month, his balance is 1/2 times as compared to balance of his previous month.

The following recursive function represents the Brye's balance at end of each month:

$a_{n}= \frac{1}{2}* a_{n-1}$

where $a_{n-1}$ is the account balance of previous month. And $a_{n}$ is the account balance of current month.