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13 March, 10:50

If the 1st and 10th terms of geometric sequence are 4 and 100, find the nth term of the sequence

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  1. 13 March, 11:13
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    a = 4 first term, r = ?, T10 = 100.

    Tn = ar^n - 1 formula for g. p

    T10 = 4r^ 10 - 1

    100 = 4r^9

    Divide both side by 4

    100/4 = 4/4r^9

    25 = r^9 take the 9th root of both side

    9√25 = 9√r^9

    r = 9√25

    To find the nth term

    Since Tn = ar^n - 1
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