Home
Class 12
MATHS
1/(3^2 -1)+1/(5^2 -1)+1/(7^2 -1)+……+1/((...

`1/(3^2 -1)+1/(5^2 -1)+1/(7^2 -1)+……+1/((201)^2 -1)` is equal to

A

`99/400`

B

`25/101`

C

`101/408`

D

`101/404`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS SECTION B|20 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section A|20 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION B)|30 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

Similar Questions

Explore conceptually related problems

Evaluate : (1 - 1/3 )^2 times ( 1 - 1/4 )^2 times ( 1 - 1/5 )^2 ------- ( 1 - 1/n )^2 is equal to :

Find the value of (1)/(3^(2)-1)+(1)/(5^(2)-1)+(1)/(7^(2)-1)+......+(1)/(35^(2)-1)

Knowledge Check

  • On simplification, the expression (4 (1)/(7) - 2 (1)/(7))/(3 (1)/(2) + 1 (1)/(7)) + (1)/(2 + (1)/(2 + (1)/(5 - (1)/(5)))) is equal to

    A
    `(28)/(65)`
    B
    `(24)/(53)`
    C
    `(56)/(53)`
    D
    `(14)/(65)`

  • (7)1/2-[(2)1/4div{(1)1/4-1/2((1)1/2-1/3-1/6)}] is equal to

    A
    (2/9)
    B
    1
    C
    (4)`1/2`
    D
    (1)77/288

  • 2 [(1)/(2x+1) + (1)/(3(2x+1)^(3)) + (1)/(5(2x+1)^(5))+...] is equal to

    A
    `log ((x)/(x+1))`
    B
    `log ((x + 1)/(x))`
    C
    `log (2x + 1)`
    D
    `log ((1)/(2x + 1))`

    • Similar Questions

    Explore conceptually related problems

    1+(1)/(2)+(1)/(4)+(1)/(7)+(1)/(14)+(1)/(28) is equal to (a) 2( b) 2.5(c)3(d)3.5

    2[(1)/(2x + 1) + (1)/(3(2x + 1)^(3)) + (1)/(5(2x + 1)^(5)) + (1)/(5(2x + 1)^(5)) + …] is equal to ,

    sqrt((4 (1)/(7) - 2 (1)/(4))/(3 (1)/(2) + 1 (1)/(7)) + (2)/(2 + (1)/(2 + (1)/(5 - (1)/(5))))) is equal to

    (1)/(1.3) + (1)/(2.5) + (1)/(3.7) + (1)/(4.9) +... is equal to

    The sum up to 60 terms of 3/(1^2) + 5/(1^2 + 2^2) + 7/(1^2 + 2^2 + 3^2) + ……. is equal to

    Home
    Profile