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the sum3/1^2+5/(1^2+2^2)+7/(1^2+2^2+3^2)...

the sum`3/1^2+5/(1^2+2^2)+7/(1^2+2^2+3^2)+.......` upto 11 terms

A

`(11)/(4)`

B

`(60)/(11)`

C

`(7)/(2)`

D

`(11)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • If the sum 3/1^2+5/(1^2+2^2)+7/(1^2+2^2+3^2)+. . . + upto 20 terms is equal to k/21, then k is equal to

    A
    120
    B
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    C
    240
    D
    60

  • 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

    A
    `240/61`
    B
    `180/17`
    C
    `360/61`
    D
    `100/17`

  • The sum to 50 terms of the series 3/1^2+5/(1^2+2^2)+7/(1^+2^2+3^2)+….+… is

    A
    `100/17`
    B
    `150/17`
    C
    `200/51`
    D
    `50/17`

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