Home
Class 10
MATHS
Find the sum to n terms of the series 1....

Find the sum to n terms of the series `1.3.5+3.5.7+5.7.9+ . . .`

Text Solution

Verified by Experts

The correct Answer is:
`S_(n)=n(n+2)(2n^(2)+4n-1)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROGRESSIONS

    CENGAGE|Exercise TEST YOURSELF (Level 3) (Multiple Choice Questions) |27 Videos

  • PROGRESSIONS

    CENGAGE|Exercise OLYMPIAD AND NTSE LEVEL EXERCISE |10 Videos

  • PROGRESSIONS

    CENGAGE|Exercise TEST YOURSELF (Level 2) |30 Videos

  • PERMUTATIONS AND COMBINATIONS

    CENGAGE|Exercise TEST YOURSELF (Multiple Choice Questions) OLYMPIAD AND NTSE LEVEL EXERCISES|10 Videos

  • QUADRATIC EQUATIONS

    CENGAGE|Exercise OLYMPIAD AND NTSE LEVEL EXERCISES |10 Videos

Similar Questions

Explore conceptually related problems

Find the sum of n terms of the series 1.3.5.+3.5..7+5.7.9+...

Find the sum of n terms of the series 1.3.5+3.5.7+5.7.9+dots

Knowledge Check

  • Find the sum of n terms of the series 1+3 +7 +15 + …

    A
    `[2^n -1)-n]`
    B
    `[(2^n -1) + n]`
    C
    `[2(2^n -1)-n]`
    D
    none of these

  • Find the sum of n terms of the series 1*3*5 + 3*5*7 + 5*7*9 + …. is :

    A
    `n(8n^3 + 11n^2 - n + 3)`
    B
    `n(2n^3 + 8n^2 + 7n -2)`
    C
    `8n^3 + 12n^2 - 2n - 3`
    D
    none of these

  • Find the sum of 100 terms of the series 1(3) + 3(5) + 5(7)+ ….

    A
    1353300
    B
    1353400
    C
    135200
    D
    1353100

    • Similar Questions

    Explore conceptually related problems

    Find the sum to n terms of the series 5,7,13,31,85+…….

    The sum to n terms of the series 3.5+5.7+7.9+..........

    Find the nth term and the sum of n terms of the series 1.2.4+2.3.5+3.4.6+....

    Find the sum to n terms of the series 3.4+5.04+7.004+9.0004+ cdots

    Find the sum to n term of the A.P.1,3,5,7.....

    Home
    Profile