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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`

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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
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    B
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    C
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    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))`
    • JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-MATHEMATICS SECTION A
    1. 1/(3^2 -1)+1/(5^2 -1)+1/(7^2 -1)+……+1/((201)^2 -1) is equal to

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