Home
Class 12
MATHS
Find the sum of the series 1+5((4n+1)/(4...

Find the sum of the series `1+5((4n+1)/(4n-3))+9((4n+1)/(4n-3))^2+13((4n+1)/(4n-3))^3+............`

Text Solution

Verified by Experts

The correct Answer is:
`4n^(2)-3n`
Promotional Banner

Topper's Solved these Questions

  • PROGRESSION & SERIES

    FIITJEE|Exercise EXERCISE 4|3 Videos

  • PROGRESSION & SERIES

    FIITJEE|Exercise EXERCISE 5|3 Videos

  • PROGRESSION & SERIES

    FIITJEE|Exercise EXERCISE 2|4 Videos

  • PROBABILITY

    FIITJEE|Exercise Exercise 7|2 Videos

  • QUADRATIC EQUATION & EXPRESSION

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

Find the sum of n terms of the series 1+5((4n+1)/(4n-3))+9((4n+1)/(4n-3))^(2)+13((4n+1)/(4n-3))^(3)

find the sum of n terms of the series (4-(1)/(n))+(4-(2)/(n))+(4-(3)/(n))+

Find the sum of the series whose nth term is given by: (4n^(3)+6n^(2)+2n)

Find sum the series (n)/(1.2*3)+(n-1)/(2.3*4)+(n-2)/(3.4*5)+......... up to n terms..-

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

Find the sum to n terms of the series 1.2.3+2.3.4+3.4.5+…

The sum of is sum_(1)^(16)((n^(4))/(4n^(2)-1)) is