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27 November, 16:12

A geometric sequence is shown below: 66 a0, - 11, 22, 56 a1, 88, - 176. A) What is the common ratio for this geometric sequence? 69 a2 B) What are the missing terms in the geometric sequence shown above?

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  1. 27 November, 16:54
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    Step-by-step explanation:

    Given a geometric sequence as

    66 a0, - 11, 22, 56 a1, 88, - 176

    We have to find the common ratio and also the missing numbers.

    A geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

    Hence by comparing two consecutive numbers let us find common ratio.

    Consider 88 and - 176. - 176 = 88 (-2) Hence common ratio is - 2

    a0 = - 11/-2 = 5.5

    a1 = 88/-2 = - 44

    Missing terms are - 132 and 5.5

    common ratio = - 2
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