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16 April, 04:44

Find the sum of the geometric sequence 3, 15, 75, 375, ... when there are 9 terms and select the correct answer below.

a. - 976,563

b. 976,563

c. 1,464,843

d. 976,562

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  1. 16 April, 05:07
    0
    c. 1,464,843

    Step-by-step explanation:

    The sum of n terms of a geometric sequence with first term a1 and common ratio r is given by ...

    sn = a1 (r^n - 1) / (r - 1)

    Filling in the values a1=3, r=5, n=9, we get ...

    s9 = 3 (5^9 - 1) / (5 - 1) = 1,464,843
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