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6 May, 04:30

A1 = 8

ai = ai-1 * 3/4

Find the sum of the first 25 terms of this sequence

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Answers (1)
  1. 6 May, 05:53
    0
    31.98 to the nearest hundredth.

    Step-by-step explanation:

    This is a geometric sequence with common ratio r = 3/4:

    8, 8*3/4, 8 * (3/4) ^2 ...

    Sn = a1 * (1 - r^n) / (1 - r)

    S25 = 8 * (1 - (3/4) ^25) / (1 - 3/4)

    = 8 * (0.99925) * 4

    = 31.98.
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