Question

A bird sanctuary initially contains 1500 birds. Each year, 15% of the birds fly away, so the sanctuary is restocked with 60 new birds. Write a recursive rule for the number of birds an of birds at the start of the nth year A1=____. An=____

Answer 1

`A_1 = 1500\\A_n = A_(n-1) - 15\%\cdot A_(n-1) + 60`

Explanation:

We just put the task description into the answer :)

The last line can also be shortened to:

`A_n = 85\%\cdot A_(n-1) + 60`

or

`A_n = 0.85A_(n-1) + 60`