Home
Class 11
MATHS
Find the sum of the n terms of the serie...

Find the sum of the n terms of the series whose nth term are given below : (i) `3n^(2)+2n` (ii) `2n^(3)+4n+1`
(iii) `2^(n)+3^(n)` (iv) `3^(n)+n^(3)`

Text Solution

Verified by Experts

The correct Answer is:
(i)`(1)/(2)n(n+1)(2n+3)` (ii) `(1)/(2)n(n^(3)+2n^(2)+5n+6)`
(iii) `2cdot(2^(n)-1)+(3(n^(n)-1))/(2)` (iv) `(3cdot(3^(n-1)))/(2)+(1)/(4)n^(2)(n+1)^(2)`

N/a
Doubtnut Promotions Banner Mobile Dark
|

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 n terms of the series whose nth term is: n(n+3)

Find the sum of n terms of the series whose nth term is: n^3-3^n

Find the sum of n terms of the series whose nth term is: n(n^2+1)

Find the sum to n terms of the series whose nth term is n^2+2^n .

Find the sum of n terms of the series whose nth term is 12n^2-6n+5 .

Find the sum of n terms of the series whose n t h term is: 2n^2-3n+5

Find the sum of first n terms of the series whose nth term is 3n^(2)+5 .

Find the sum of n terms of the series whose nth term is: n(n-1)(n+1)

Find the sum to n term of the series whose nth term is n(n+1)(n+4)

Find the sum to n term of the series whose n^(th) term is given by n(n^(2) + 1)