For all n∈N, 10ⁿ+3(4ⁿ⁺²)+5 is divisible by

The remainder when 5⁹⁹ is divided by 13, is

For all positive integral values of n, 3²ⁿ−2n+1 is divisible by

n (n + 1) (n + 5) is a multiple of

For every natural number n, 3²ⁿ⁺²−8n−9 is divisible by

9

8

2

3

16