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

Answer:

$A_1 = 1500\\A_n = A_{n-1} - 15\%\cdot A_{n-1} + 60$

Step-by-step 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

$A_n = 0.85A_{n-1} + 60$