Home
Class 12
MATHS
Find the sum of infinite terms of the se...

Find the sum of infinite terms of the series `3/1^2 + 5/(1^2 + 2^2) + 7/(1^2+2^2+3^2) + 9/(1^2+2^2+3^2+4^2)+...`

Text Solution

Verified by Experts

The correct Answer is:
`(6n)/(n+1),6`
Promotional Banner

Topper's Solved these Questions

  • PROGRESSION & SERIES

    FIITJEE|Exercise EXERCISE 6|4 Videos

  • PROGRESSION & SERIES

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) LEVEL-I|11 Videos

  • PROGRESSION & SERIES

    FIITJEE|Exercise EXERCISE 4|3 Videos

  • PROBABILITY

    FIITJEE|Exercise Exercise 7|2 Videos

  • QUADRATIC EQUATION & EXPRESSION

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

The sum to 50 terms of the series 3/1^2+5/(1^2+2^2)+7/(1^+2^2+3^2)+….+… is

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 1.2.3+2.3.4+3.4.5+…

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