Let a_1=b_1=1 and a_n=a_ n-1 +(n-1), b_n=b_ n-1 +a_ n-1 , n 2. If S = _ n=1 ^ 10 b_n 2^n and T = _ n=1 ^8 n...

Question

Let a_1=b_1=1 and a_n=a_ n-1 +(n-1), b_n=b_ n-1 +a_ n-1 , n 2. If S = _ n=1 ^ 10 b_n 2^n and T = _ n=1 ^8 n 2^ n-1 , then 2^7(2S-T) is equal to _____.

Accepted Answer

461

JEE Main 2023 Mathematics question

Solution