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The sum upto n terms of the series sqrt(...

The sum upto n terms of the series
`sqrt(3) + sqrt(12) + sqrt(27) + sqrt(48)` +… is:

A

`sqrt(3) n`

B

3n(n+1)

C

`sqrt(3)n(n+1)`

D

none of these

Text Solution

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The correct Answer is:
a
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Knowledge Check

  • The sum up to n terms of the series 1/(sqrt(1) + sqrt(3)) + 1/(sqrt(3) + sqrt(5)) + 1/(sqrt(5) + sqrt(7)) +… is:

    A
    `sqrt(2n+1)`
    B
    `sqrt(2n+1)/2`
    C
    `sqrt(2n+1) -1`
    D
    `(sqrt(2n+1) -1)/2`

  • The sum of 10 terms of the series sqrt(2) + sqrt(6) + sqrt(18) + .... is

    A
    `121(sqrt(6) + sqrt(2)`
    B
    `243(sqrt(3) + sqrt(1)`
    C
    `121/(sqrt(3) - 1`
    D
    `243(sqrt(3) - 1)`

  • The sum up to n terms of the series sqrt(2)+sqrt(8)+sqrt(18)+sqrt(32) +... is

    A
    `(n(n+1))/(2)`
    B
    `2n(n+1)`
    C
    `(n(n+1))/(2)`
    D
    1

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