What is the common ratio:The sequence 200, 100, 50, 25, … has a common ratio of___

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What is the common ratio:The sequence 200, 100, 50, 25, … has a common ratio of___

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Nho 3 weeks 2021-08-23T22:59:28+00:00 1 Answers 0 views 0

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    2021-08-23T23:00:41+00:00

    Answer:

    answerr is This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by

    1

    2

    gives the next term. In other words,

    a

    n

    =

    a

    1

    r

    n

    1

    .

    Geometric Sequence:

    r

    =

    1

    2

    This is the form of a geometric sequence.

    a

    n

    =

    a

    1

    r

    n

    1

    Substitute in the values of

    a

    1

    =

    200

    and

    r

    =

    1

    2

    .

    a

    n

    =

    (

    200

    )

    (

    1

    2

    )

    n

    1

    Simplify the expression.

    Tap for more steps…

    a

    n

    =

    200

    1

    2

    n

    1

    Combine

    200

    and

    1

    2

    n

    1

    .

    a

    n

    =

    200

    2

    n

    1

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