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The sum of the series : 1 + (1)/(1 + 2) ...

The sum of the series : `1 + (1)/(1 + 2) + (1)/(1 + 2 + 3)+`.... up to 10 terms, is

A

`(22)/(13)`

B

`(18)/(11)`

C

`(20)/(11)`

D

`(16)/(9)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The sum of the series (1)/(19!)+(1)/(3!17!) +(1)/(5!15) + ......... to 10 terms is equal to

    A
    `(2^(19))/(20!)`
    B
    `(2^(20))/(20!)`
    C
    `(2^(10))/(20!)`
    D
    `(2^(19))/(19!)`

  • The sum of the series (1+2)+(1+2+2^(2))+(1+2+2^(2)+2^(3))+ . . . up to n terms, is

    A
    `2^(n+2)-n-4`
    B
    `2(2^(n)-1)-n`
    C
    `2^(n+1)-n`
    D
    `2^(n+1)-1`

  • The sum of the series (1)/(2) + (1)/(3) + (1)/(6)+….. to 9 terms is

    A
    `-5//6`
    B
    `-1//2`
    C
    1
    D
    `-3//2`

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