mathematics

6. In a GP the 3rd term is equal to four times the first term and the sixth term is equal to three times the fourth term plus 32. Determine the sequence.

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  1. GP
    ar^2 = 4a ----> r^2 = 4
    r = ±2

    ar^5 = 3ar^3 + 32

    if r = +2
    32a = 24a + 32
    8a =32
    a = 4

    the sequence is 4,8,16,32,64, 128, ...

    if r = -2
    -32a = -24a + 32
    -8a = 32
    a = -4

    the sequence is -4, 8, -16, 32, -64, 128, ...

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