Question

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

This would be a geometric sequence, since he is taking 1/2 of the money out. He is leaving 1/2 in as well, which is the same as multiplying his account balance by 1/2. In this geometric sequence, r, the common ratio, is 1/2. Recursive formulas for a geometric sequence are given by
`g_n=g_n_-_1*r`. In this case it would look like
`g_n=g_n_-_1*((1)/(2))`.