Home
Class 11
MATHS
Find the sum of the series (1^3)/1+(1^3+...

Find the sum of the series `(1^3)/1+(1^3+2^3)/(1+3)+(1^3+2^3+3^3)/(1+3+5)+` up to `n` terms.

Text Solution

Verified by Experts

The correct Answer is:
(i) `(1)/(36)n(4n^(2)+15n+17)` (ii) `(1)/(24)n(2n^(2)+9n+13)`

N/a
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN|Exercise Exercise 9L|10 Videos
  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN|Exercise Exercise 9M|10 Videos
  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN|Exercise Exercise 9J|13 Videos
  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|12 Videos
  • SETS

    NAGEEN PRAKASHAN|Exercise MISC Exercise|16 Videos

Similar Questions

Explore conceptually related problems

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

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

Sum up to 16 terms of the series (1^(3))/(1) + (1^(3) + 2^(3))/(1 + 3) + (1^(3) + 2^(3) + 3^(3))/(1 + 3 + 5) + .. is

FIn dthe sum of this series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)+(1^(3)+2^(3)+3^(3))/(1+3+5)+...+ till 10^(th) term ^(*)

The n^(th) term of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)+(1^(3)+2^(3)+3^(3))/(1+3+5)+... will be

The sum of the first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)+(1^(3)+2^(3)+3^(3))/(1+3+5)...... is :

The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)+(1^(3)+2^(3)+3^(3))/(1+3+5)+"........" is