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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?

Respuesta :

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 [tex]g_n=g_n_-_1*r[/tex].  In this case it would look like [tex]g_n=g_n_-_1*(\frac{1}{2})[/tex].

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