Question

What are the first two terms of the sequence defined recursively by the formula ^an=(^an-1)^2, when ^a4=1604?

Answer 1

The first two terms are √2 and 6.

Explanation:

a3^2+4=1604

a3=40

a2^2+4=40

a2=6

a1^2+4=6

a1=√2