`1+(1 + 2) + (1 + 2 + 3) +(1+2+3+4) +...` to n terms.

1 + (1 +2) + (1 + 2 + 3) + …. To n term is

((1)/(2), (2)/(2) )/(1^3) + ((2)/(2) , (3)/(2) )/( 1^3 + 2^3) + ((3)/(2) , (4)/(2) ) / (1^(3) + 2^(3) + 3^(3) ) + ..... n terms

1 . 2+2 . 3+3 . 4+.. .. to n terms =

Sum to n terms the series 1 + (1+ 2) + (1 + 2 + 3) + (1 + 2 + 3 + 4).......

(1^(2) )/( 1) + (1^(2) + 2^(2) )/(1+2) + (1^(2) + 2^(2) + 3^(2) )/( 1+ 2+ 3)+ …. + n terms =

If (1 xx 2 + 2 xx 3 + 3 xx 4 + 4 xx 5+ … upto n terms) / (1 + 2 + 3 + 4 + ………………….. upto n terms) = 100 / 3 , find n

1+(1+2)/(2)+(1+2+3)/(3) +(1+2+3+4)/(4)+.. . to n terms =

1+ ((1)/(3) + (1)/(3^2) ) + (( 1)/( 3^3) + (1)/( 3^4) + (1)/( 3^5) ) + .... sum of the terms in the n^( th) bracket=

Find the sum of 1^1 n + 2^2 (n - 1) + 3^2 (n - 2) + 4^2 (n -3) ……upto 'n' terms.