In a geometric sequence, the_between consecutive terms is constant.

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In a geometric sequence, the_between consecutive terms is constant.

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Samantha 2 weeks 2021-11-25T18:18:06+00:00 1 Answer 0 views 0

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    2021-11-25T18:19:43+00:00

    Answer:

    In a geometric sequence, the common ratio between consecutive terms is constant.

    Step-by-step explanation:

    In a geometric sequence, the common ratio between consecutive terms is constant.

    The n-th term of a geometric sequence with first term a and common ratio r is represented by the formula:

    a_{n}=a\,r^{n-1}

    For example,

    1, -3, 9, -27, 81, -243, ...

    As the common ratio ‘r’ between consecutive terms is constant.

    • r = -3/1 = -3
    • r = 9/-3 = -3
    • r = -27/9 = -3
    • r = 81/-27 = -3
    • r = -243/81 = -3

    So, the common ratio between consecutive terms is constant i.e. -3. Thus, it is a geometric sequence with a common ratio -3.

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