" If "sum_(s=1)^(n){sum_(r=1)^(s)r}=an^(3)+bn^(2)+cn," then find the value of "a+b+c

sum_(s=1)^(10)sum_(r=0)^(s-1)(2^(s)-2^(r))

If f(n)=sum_(s=1)^(n)sum_(r=s)^(n)C_(r)^(r)C_(s), then f(3)=

If sum_(r=1)^(n)r(r+1)(2r+3)=an^(4)+bn^(3)+cn^(2)+dn+e , then.

If sum_(r=1)^(n) r(sqrt(10))/(3)sum_(r=1)^(n)r^(2),sum_(r=1)^(n) r^(3) are in G.P., then the value of n, is

If sum_(r=1)^(n) r(sqrt(10))/(3)sum_(r=1)^(n)r^(2),sum_(r=1)^(n) r^(3) are in G.P., then the value of n, is

If S_(n)=sum_(r=1)^(n)(2r+1)/(r^(4)+2r^(3)+r^(2)), then S_(10) is equal to

If sum_(r=1)^(n)T_(r)=(3^(n)-1), then find the sum of sum_(r=1)^(n)(1)/(T_(r))

If f (n) = sum_(s=1)^n sum_(r=s)^n "^nC_r "^rC_s , then f(3) =

If sum_(r=15)^(29)cos((r pi)/(2)+theta)=S_(1) and sum_(r=15)^(29)sin((r pi)/(2)+theta)=S_(2) then find the value of (s_(2))/(s_(1))

If S=sum_(r=1)^(80)(r)/((r^4+r^2+1)) , then the value of (6481s)/(1000) is