Find the value off `sum_(k1)^10(2+3^k)`

Find the value of sum_(k=1)^10[sin((2pik)/(11))-icos((2pik)/(11))],wherei=sqrt(-1).

If int_(0)^(10)f(x)dx=5, find the value of sum_(k=1)^(10)int_(0)^(1)f(k-1+x)dx

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

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

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)

Find the value of the sum_(k=0)^(359)k.cos 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 n is a positive integer SC_(k)=^(n)C_(k), find the value of (sum_(k=1)^(n)(k^(3))/(n(n+1)^(2)*(n+2))((C_(k))/(C_(k)-1))^(2))^(-1)

The value of sum_(k=1)^(10)((sin(2 pi k))/(11)-i(cos(2 pi k))/(11)) is

Find the value of 3sum_(n=1)^(oo) {1/(pi) sum_(k=1)^(oo) cot^(-1)(1+2sqrt(sum_(r=1)^(k)r^(3)))}^(n)