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Let a=3^(1//224)+1 and for all n ge 3, ...

Let `a=3^(1//224)+1` and for all `n ge 3`,
let `f(n)=""^(n)C_(0)a^(n-1)-""^(n)C_(1)a^(n-2)+""^(n)C_(2)a^(n-3)+...+(_1)^(n-1)*""^(n)C_(n-1)*a^(0).`
If the value of f(2016)+f(2017)=`3^(k)`, the value of K is

A

6

B

8

C

9

D

10

Text Solution

Verified by Experts

The correct Answer is:
C
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