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If the sum to infinity of the series ...

If the sum to infinity of the series
` 1- ( 1+d) (1)/(3) +(1+ 2d) (1)/(9) -( 1+3d) .(1)/( 27) + ………" is" (9)/(16) `, find d.

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Knowledge Check

  • What is the sum of the infinite series 1-(1)/(3)+(1)/(9)-(1)/(27)+… ?

    A
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    B
    `(3)/(4)`
    C
    1
    D
    `(4)/(3)`

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