find the 10th and nth term of each G.P.:5,25,125,-.​

Question

find the 10th and nth term of each G.P.:5,25,125,…..​

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Huyền Thanh 2 months 2021-08-28T07:50:50+00:00 1 Answers 0 views 0

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    2021-08-28T07:52:25+00:00

    Answer:

    The n^{th} of the sequence

    t_{n} = ar^{n-1}

    The  10^{th} of the sequence

    t_{10} = 5(5)^{10-1} =  9,765,625

    Step-by-step explanation:

    Explanation:-

    Given that the geometric sequence

    5, 25 , 125 ,….

    First-term  a= 5

    Difference    r = \frac{25}{5} =5

    The n^{th} of the sequence

    t_{n} = ar^{n-1}

    The  10^{th} of the sequence

    t_{10} = 5(5)^{10-1} =  9,765,625

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