`C=sum_(k=1)^35cos(5k)^(@) and S=sum_(k=1)^36 sin(10 k)^@` then find `(C^2+S^2).`

C=sum_(k=1)^(35)cos(5k)^(@) and S=sum_(k=1)^(36)sin(10k)^(@) then find (C^(2)+S^(2))

sum_(k=0)^(5)(-1)^(k)2k

S_(1)=sum_(k=1)^(n)K,S_(2)=sum_(k=1)^(n)K^(2) and S_(3)=sum_(k=1)^(n)K^(3) then (S_(1)^(4)S_(2)^(2)-S_(2)^(2)S_(3)^(2))/(S_(1)^(2)+S_(3)^(2)) is equal to

Given S_(n)=sum_(k=1)^(n)(k)/((2n-2k+1)(2n-k+1)) and T_(n)=sum_(k=1)^(n)(1)/(k) then (T_(n))/(S_(n)) is equal to

Evaluate :sum_(k=1)^(10)(3+2^(k))

S_(n)=sum_(k=1)^(n)(k^(2)+n^(2))/(n^(3)) and T_(n)=sum_(k=0)^(n-1)(k^(2)+n^(2))/(n^(3)),n in N then

sum_(m=1)^(32)m[sum_(k=1)^(6)sin2k(pi)/(7)-i cos2k(pi)/(7)]