Affine Recurrence Plotter
6th to 8th, High School
A(n) = b × A(n - 1) + c, A(0) = a
One possible use of this tool is to investigate the balance in a savings account that earns simple interest. If the account begins with $1000, earns 6% interest annually, and $50 is deposited each month, set a = 1000, b = 1.06, and c = 50. The graph will show the balance after n years.
The affine recurrence plotter can also be used to investigate the population of a stocked trout pond, as described in the Trout Pond unit.
A(n) = b × A(n - 1) + c