If `n in N ,sum_(k=1)^nsin^(- 1)(x_k)=(npi)/2"t h e n"sum_(k=1)^n x_k`

sum_(k=1)^n k^3=

sum_(k =1)^(n) k(1 + 1/n)^(k -1) =

Find the sum sum_(k=0)^n ("^nC_k)/(k+1)

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

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

If n in N and sum_(k=1)^(n)k^(3)((C_(k))/(C_(k-1)))^(2)=(n(n+1)^(2)(n+2))/(3p) then the value of p is

Evaluate : sum_(k=1)^n (2^k+3^(k-1))

L = lim_ (n rarr oo) (1) / (n ^ (4)) [1.sum_ (k = 1) ^ (n) k + 2 * sum_ (k = 1) ^ (n-1) k + 3 * sum_ (k = 1) ^ (n-2) k + ......... + n.1]