[" 6.Let "S_(k)=(1+2+3+...+k)/(k)." If "],[quad S_(1)^(2)+S_(2)^(2)+...+S_(10)^(2)=(5)/(12)A," then "A" is equal to : "]

Let S_(k) = (1+2+3+...+k)/(k) . If S_(1)^(2) + s_(2)^(2) +...+S_(10)^(2) = (5)/(12)A , then A is equal to

Let S_(k) = (1+2+3+...+k)/(k) . If S_(1)^(2) + s_(2)^(2) +...+S_(10)^(2) = (5)/(12)A , then A is equal to

Let S_(k) = (1+2+3+...+k)/(k) . If S_(1)^(2) + s_(2)^(2) +...+S_(10)^(2) = (5)/(12)A , then A is equal to

Let S_(k) = (1+2+3+...+k)/(k) . If S_(1)^(2) + s_(2)^(2) +...+S_(10)^(2) = (5)/(12)A , then A is equal to

If S_(k)=(1+2+...+k)/(k), find the value of S_(1)^(2)+S_(2)^(2)+...+S_(n)^(2)

If S_k=(1+2+3+...k)/k then find the value of S_1^2+S_2^2+....S_n^2

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

Let" "S_(k)=( (1 ,k), (0 ,1) ), k in N .Then (S_(2))^(n)(S_(x))^(-1) (where n in N) is equal to: (S_(k))^(-1) denotes the inverse of matrix S_(k)