`1^(3)+2^(3)+3^(3)+ cdots +20^(3)`=

Find the sum of the series 31^(3) + 32^(3) + cdots +50^(3) .

Find the following sums : (i) 1 + 2 + 3 + …+ 30 (ii) 1^(2) + 2^(2) + 3^(2) + …+35^(2) (ii) 1^(3) + 2^(3) + 3^(3) +…+ 20^(3) .

Find the following sums : (i) 1 + 2 + 3 + …+ 30 (ii) 1^(2) + 2^(2) + 3^(2) + …+35^(2) (ii) 1^(3) + 2^(3) + 3^(3) +…+ 20^(3) .

Evaluate the sum: 4^(3)+5^(3)+6^(3)+cdots +20^(3)

lim_(n rarr oo)(n(1^(3)+2^(3)+3^(3)+cdots n^(3))^(2))/((1^(2)+2^(2)+3^(2)+cdots+n^(2))^(3)) =

Find the sum 1+ (1^(3) + 2^(3))/(2) + (1^(3) + 2^(3) + 3^(3))/(3) + …….(1^(3) + 2^(3) + 3^(3) + …..+ 20^(3))/(20)

40^(3)-38^(3)+36^(3)-34^(3)+ cdots +4^(3)-2^(3) =

Find the sum of the series (1^(3))/(1) + (1^(3)+2^(3))/(1+3)+(1^(3)+2^(3)+3^(3))/(1+3+5)+ cdots up to n terms .

If H_(n) =1+(1)/(2)+ cdots + (1)/(n) then value of S_(n) =1 + (3)/(2) + (5)/(3) +cdots + (2n-1)/(n) is