If   `n/( 2^k ) = 1` , then find the value of k

`n^(1) = 2^(k)`

If for n in N,sum_(k=0)^(2n)(-1)^(k)(2nC_(k))^(2)=A, then find the value of sum_(k=0)^(2n)(-1)^(k)(k-2n)(2nC_(k))^(2)

If sum_(k=1)^(n)k=210, find the value of sum_(k=1)^(n)k^(2).

If sum_(n=0)^(oo)2cot^(-1)((n^(2)+n+4)/(2))=k pi then find the value of k

If sum_(k=1)^(n)k=45, find the value of sum_(k=1)^(n)k^(3).

If n is a positive integer and C_(k)=.^(n)C_(k) then find the value of sum_(k=1)^(n)k^(3)*((C_(k))/(C_(k-1)))^(2)

lim_(nrarroo)(1/(n+1)+1/(n+2)+…….+1/(6n))=kln6 , then find the value of k

If n is a positive integer and C_(k)=""^(n)C_(k) , then the value of sum_(k=1)^(n)k^(3)((C_(k))/(C_(k-1)))^(2) is :