Home
Class 12
MATHS
Find the sum of the series : 1*3^2 + ...

Find the sum of the series :
`1*3^2 + 2* 5^2 + 3*7^2 + …` to 20 terms :

A

100000

B

143215

C

188090

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 4 (TRUE AND FALSE) |1 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 4 (FILL IN THE BLANKS) |7 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 3 (FILL IN THE BLANKS) |1 Videos

  • PROBABILITY

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE|6 Videos

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Self Assessment Test (Multiple Choise Questions)|34 Videos

Similar Questions

Explore conceptually related problems

Find the sum of the series 1 . 3^(2) + 2.5 ^(2) + 3.7^(2) +…+ to n terms

77.The sum of the series 1.3^(2)+2.5^(2)+3.7^(2)+.... upto 25 terms

Knowledge Check

  • The sum of the series 1 + 2 xx 3 + 3 xx 5 + 4 xx 7+ ...upto 11th term is

    A
    915
    B
    946
    C
    916
    D
    945

  • The sum of n terms of the series 1^2 + (1^2 + 3^2) + (1^2 + 3^2 + 5^2) + … is :

    A
    `1/3 (n^4 + 2n^2)`
    B
    `1/3 (n^3 + 3n^2 -n)`
    C
    `1/6 n(n+1)(2n^2 + 2n-1) `
    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

    • Similar Questions

    Explore conceptually related problems

    Find the sum of the series 1+3x+5x^(2)+7x^(2)+... to n terms.

    Find the sum of the series 1*2*3+2*3*4+3*4*5+"...." " upto n terms " .

    Find the sum of the series: 1xx2^(2)+3xx3^(2)+5xx4^(2)+... "to n terms"

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

    Find the sum to n terms of 3 * 2 + 5*2^2 + 7*2^3 + ….

    Home
    Profile