Question

If f(1)=2 and f(n) = f(n-1)^2+4 then what is the value of f(3)?

Answer 1

f(3) = 68

Explanation:

Given:

`\sf f(1)=2`

`\sf f(n) = f(n-1)^2+4`

`\sf \implies f(2) = f(1)^2+4`

`\sf \implies f(2) = 2^2+4=8`

`\sf \implies f(3) = f(2)^2+4`

`\sf \implies f(3) = 8^2+4=68`