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9 December, 08:34

Calculate a7 for the geometric sequence in which a1=2,500 and the common ratio is 2/5

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  1. 9 December, 11:10
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    a7 is 10.24

    Step-by-step explanation:

    The formula for determining the nth term of a geometric sequence is expressed as

    Tn = ar^ (n - 1)

    Where

    r represents the common ratio of the sequence.

    a represents the first term of the sequence.

    n represents the number if terms of the sequence.

    We want to determine the 7th term of the geometric sequence, T7

    From the information given,

    a = 2500

    r = 2/5

    T7 = 2500 * 2/5^ (7 - 1)

    T7 = 2500 * 2/5^6

    T7 = 2500 * 64/15625

    T7 = 10.24
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