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29 September, 06:16

Enter the next three terms in the geometric sequence. Round to the nearest tenth value.

36, 54, 81, 121.5, ...

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  1. 29 September, 09:37
    0
    The next three terms of the sequence are 182.3, 273.5 and 410.3 respectively (all rounded to the nearest tenth value)

    Step-by-step explanation:

    A geometric sequence is one in which successive members are multiples of a constant common ratio.

    From the sequence, we can identify that;

    First term a = 36

    common difference = 2nd term/first term = 3rd term/second term = 4th term/3rd term

    Hence, common difference d = 54/36 = 81/54 = 1.5

    The next three terms of the sequence are the 5th, 6th and 7th term respectively.

    For the 5th term, we have 4th term * common ratio = 121.5 * 1.5 = 182.3

    For the 6th term, we have 5th term * common ratio = 182.3 * 1.5 = 273.5

    For the 7th term, we have 6th term * common ratio = 273.5 * 1.5 = 410.3
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