Let a=3^ 1 223 +1 and for all n 3, let f(n)= ^nC_0 a^ n-1 - ^nC_1 a^ n-2 + ^nC_2 a^ n-3 - +(-1)^ n-1 ^nC_ n-1...

Question

Let a=3^ 1 223 +1 and for all n 3, let f(n)= ^nC_0 a^ n-1 - ^nC_1 a^ n-2 + ^nC_2 a^ n-3 - +(-1)^ n-1 ^nC_ n-1 a^0. If the value of f(2007)+f(2008)=3^k where k N, then the value of k is

Accepted Answer

9

JEE Main Mathematics question

Solution

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