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If the first 3 consecutive terms of a ge...

If the first 3 consecutive terms of a geometrical progression are the real roots of the equation `2x^3 - 19x^2 +57x - 54=0` find the sum to infinite number of terms of G.P.

Text Solution

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The correct Answer is:
`(27)/(2)`
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Knowledge Check

  • The number of real roots of the equation |x|^(2)-3|x|+2=0 is

    A
    `4`
    B
    `3`
    C
    `2`
    D
    `1`

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    (A)4
    B
    (B)3
    C
    (C)2
    D
    (D)1

  • The number of real roots of the equation |x|^(2) -3|x| + 2 = 0 , is

    A
    4
    B
    3
    C
    2
    D
    1

    • Similar Questions

    Explore conceptually related problems

    If the first three terms of an A.P. are the roots of the equation 4x^(3) - 24x^(2) + 23 + 18 = 0 them compute the sum of the first n terms .

    The sum of the first 2012 terms of a geometric progression is 200. The sum of the first 4024 terms of the same series is 380. Find the sum of the first 6036 terms of the series.

    Find the roots of the equation x^(4)+x^(3)-19x^(2)-49x-30 , given that the roots are all rational numbers.

    If 3x -4, x +4 and 5x +8 are the three positive consecutive terms of a geometric progression, then find the terms.

    The sum of the terms of an infinite geometric progression is 3 and the sum of the squares of the terms is 81. Find the first term of the series.

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