SOLUTION: (1/1*2)+(1/2*3)+(1/3*4)+.........find the sum of n terms of the given series?

SOLUTION: (1/12)+(1/23)+(1/3*4)+.........find the sum of n terms of the given series?

Algebra.Com

Question 320727: (1/1*2)+(1/2*3)+(1/3*4)+.........find the sum of n terms of the given series?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Use a substitution,

So then

+...=(+...+)-(+...+)
+...

RELATED QUESTIONS
Find the sum of the first 100 terms in the series 1/(1*2) + 1/(2*3) + 1/(3*4) + ... +... (answered by ikleyn)

find the sum of following series:... (answered by Edwin McCravy)

Find the sum of n terms of series... (answered by Edwin McCravy)

Find the sum of series {{{ 1 + (1^n/2)C1 + (1^n/3)C2 + (1^n/4)C3 + ...... (answered by ikleyn)

If there are (2n+1) terms in an arithmetic series, prove that the ratio of the sum of odd (answered by richard1234)

1(1!) + 2(2!) + 3(3!) + . . . + n(n!). Find the sum of this series if n =... (answered by richard1234)

Find the sum of the series {{{ 1 + (1^n/2)C_1 + (1^n/3)C_2 + (1^n/4)C_3 + upto... (answered by ikleyn)

Find the n th term of series 1: -1+1/2-1/3+1/4............ 2:... (answered by ikleyn)

Find the sum of n terms of the series 1+2+4+7+11+16++22+...+(nth... (answered by Edwin McCravy)