Let `a=3^(1/223) +1` and for all `n ge 3` let `f(n) = C(n,0) a^(n-1) - C(n,1).a^(n-2) -C(n,2) a^(n-3) -...+(-1)^(n-1).C(n,n-1)` If the value of `f(2007) +f(2008) =3^k` where `k in N` then the value of k is

Let a=3^(1/(223))+1 and for all n geq3,l e tf(n)=^n C_0dota^(n-1)-^n C_1dota^(n-2)+^n C_2dota^(n-3)-+(-1)^(n-1).^n C_(n-1) a^0 . If the value of f(2007)+f(2008)=3^k where k in N , then the value of k is.

Let a=3^((1)/(223))+1 and for all >=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 If the value of f(2007)+f(2008)=3^(k)wherek in N, then the value of k is.

Let a=3^(1/(223))+1 and for all tgeq3 , let f(n)=^n C_0dota^(n-1)-^n C_1dota^(n-2)+^n C_2dota^(n-3)-+(-1)^(n-1)dot^n C_(n-1)dota^0 . If the value of f(2007)+f(2008)=3^k w h e r ek in N , then the value of k is.

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

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

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

The value of C(n, 0) - C(n, 1) + C(n, 2) - C(n, 3) +.......+(-1)^(n)C(n, n) =

Let f(n)= sum_(k=1)^(n) k^2 ^"(n )C_k)^ 2 then the value of f(5) equals

Let f(n)= sum_(k=1)^(n) k^2 ^"(n )C_k)^ 2 then the value of f(5) equals