Let a_n _ n=1 ^ be a sequence such that a_1=1, a_2=1 and a_ n+2 =2a_ n+1 +a_n for all n 1. Then the value of...

Question

Let a_n _ n=1 ^ be a sequence such that a_1=1, a_2=1 and a_ n+2 =2a_ n+1 +a_n for all n 1. Then the value of 47 _ n=1 ^ a_n 2^ 3n is equal to

Accepted Answer

7

JEE Main Mathematics question