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If first three terms of the sequence 1//...

If first three terms of the sequence `1//16 ,a , b , c1//16` are in geometric series and last three terms are in harmonic series, then find the values of `aa n dbdot`

A

`1/12,4/9`

B

`4/7,3/4`

C

`1/9,1/12`

D

`-1/4,1`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The first three terms of a sequence are 3,1,-1 . The next terms is

    A
    `2`
    B
    `-3`
    C
    `-(5)/(27)`
    D
    `-(5)/(9)`

  • Find the sum to n terms of the series 3+6 + 10 + 16 + …

    A
    `(n(n-1))/(2) -1`
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    `n(n+1) + 2^n -1`
    C
    `n(n+1) + 1`
    D
    `3(2n+1)-2^n`

  • What is the next term of the series 1, 2, 4, 8, 16, ......?

    A
    20
    B
    64
    C
    24
    D
    32

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