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The sum of intinite number of terms of a decreasing G.P.is 4 and the sum of the squares of its terms to infinity is `16/3` find the G.P.

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The sum of infinite number of terms of a G.P.is 4 and the sum of their cubes is 192. Find the series.

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Knowledge Check

  • The sum of the first three terms of an increasing G.P. is 21 and the sum of their squares is 189. Then the sum of its first n terms is

    A
    `3(2^(n) -1)`
    B
    `12(1 - (1)/(2^(n)))`
    C
    `6(1 - (1)/(2^(n)))`
    D
    `6 (2^(n) -1)`

  • If the sum of an infinitely decreasing G.P. is 3, and the sum of the squares of its terms is 9//2 , the sum of the cubes of the terms is

    A
    `(105)/(13)`
    B
    `(108)/(13)`
    C
    `(729)/(8)`
    D
    `(128)/(13)`

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    . The sum of an infinite number of terms of a G.P.is 20 ,and the sum of their squares is 100, then the first term of the G.P.is

    The sum to infinity of a G.P. is 15 and the sum of squares of its terms is 45. Find the G.P

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