If `sum_(k=1)^n(sum_(m=1)^k m^2)=a n^4+b n^3+c n^2+dn+e` then -

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

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

Find the value of sum_(p=1)^n(sum_(m=p)^n^n C_m^m C_p)dot And hence, find the value of (lim)_(nvecoo)1/(3^n)sum_(p=1)^n(sum_(m=p)^n^n C_m^m C_p)dot

If the sum sum_(n=1)^10 sum_(m=1)^10 tan^(-1) (m/n) = k pi , find the value of k

Find the value of sum_(p=1)^n(sum_(m=p)^n.^nC_m.^m C_p)dot And hence, find the value of lim_(n->oo)1/(3^n)sum_(p=1)^n(sum_(m=p)^n.^n C_m.^m C_p)dot

Find the value of sum_(p=1)^n(sum_(m=p)^n.^nC_m.^m C_p)dot And hence, find the value of lim_(n->oo)1/(3^n)sum_(p=1)^n(sum_(m=p)^n.^n C_m.^m C_p)dot

Find the value of sum_(p=1)^(n)(sum_(m=p)^(n)C_(m)^(m)C_(p)) And hence,find the value of lim_(n rarr oo)(1)/(3^(n))sum_(p=1)^(n)(sum_(m=p)^(n)C_(m)^(m)C_(p))

If the sum sum_(n=1)^(10)sum_(m=1)^(10)tan^(-1)((m)/(n))=k pi, find the value of k

The value of sum_(r=1)^(n+1)(sum_(k=1)^n "^k C_(r-1)) ( where r ,k ,n in N) is equal to a. 2^(n+1)-2 b. 2^(n+1)-1 c. 2^(n+1) d. none of these

The value of sum_(r=1)^(n+1)(sum_(k=1)^n "^k C_(r-1)) ( where r ,k ,n in N) is equal to a. 2^(n+1)-2 b. 2^(n+1)-1 c. 2^(n+1) d. none of these