Home
Class 12
MATHS
Find the sum to n terms of the series: ...

Find the sum to `n` terms of the series: `1/(1+1^2+1^4)+1/(1+2^2+2^4)+1/(1+3^2+3^4)+`

Text Solution

Verified by Experts

The correct Answer is:
`(n(n + 1))/(2(n^(2) + n + 1))`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND PROGRESSION

    ALLEN|Exercise Exercise (JM)|20 Videos

  • SEQUENCE AND PROGRESSION

    ALLEN|Exercise Exercise (JA)|12 Videos

  • SEQUENCE AND PROGRESSION

    ALLEN|Exercise Exercise S-1|16 Videos

  • RACE

    ALLEN|Exercise Race 21|14 Videos

  • TEST PAPER

    ALLEN|Exercise CHEMISTRY SECTION-II|3 Videos

Similar Questions

Explore conceptually related problems

Find the sum to n terms of the series: 1/(1+1^2+1^4)+2/(1+2^2+2^4)+3/(1+3^2+3^4)+

Find the sum to n terms of the series: 1/(1+1^2+1^4)+2/(1+2^2+2^4)+3/(1+3^2+3^4)+

Find the sum to n terms of the series 1/(1+1^2+1^4)+2/(1+2^2+2^4)+3/(1+3^2+3^4)+.......... that means t_r = r/(r^4+r^2+1) find sum_(r=1)^n

Find the sum to n terms of the series: 3/(1^2 .2^2)+5/(2^2 .3^2)+7/(3^2 .4^2)+......

Find the sum of n terms of the series 1. 2^2+2. 3^2+3. 4^2+

Find the sum to n terms of the series 1 + (1 + 2) + (1 + 2 + 3) + ......

Find the sum to n terms of the series 1 + (1 + 2) + (1 + 2 + 3) + ......

Write the sum of 20 terms of the series: 1+1/2(1+2)+1/3(1+2+3)+

Find the sum to n terms of the series : 1^2+(1^2+2^2)+(1^2+2^2+3^2)+.......

Find the sum to n terms of the series : 1/(1xx2)+1/(2xx3)+1/(3xx4)+dotdotdot