Question

Elaine deposited $50 into a bank account. Each month, the balance in the account increases by 0.25%. The amount of money in her bank account n months later is expressed by the sequence an , where a n = 50(1.0025) n .

Which of the following is a recursive definition for the same sequence?

Answer 1

Step-by-step Answer::

"Each month, the balance in the account increases by 0.25%"

means F(n)=F(n-1)*1.0025

"Elaine deposited $50 into a bank account."

means F(0) = 50

So a recursive definition is

F(n) = F(n-1)*1.0025 for n=1,2,3,4... and F(0)=50

Symbols used in the actual answer choices may differ, but with the same principle.