Question

3^4n+1 + 2^ 2n+2 is divisible by 7

Answer 1

Yup it is divisible by 7

${3}^{4n + 1} + {2}^{2n + 1} = f(x)$
For n = 0 f(x) = 7
For n = 1 f(x) = 243 + 16 = 259

Which is also divisible by 7 , 37 times

Hence Proved :)