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18 September, 06:53

Find the sum of the infinite geometric series.

4-4/5+4/25-4/125 + ...

+1
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  1. 18 September, 08:12
    0
    The formula for infinite geometric series is s=a1/1-r. If you would need to find your r, the ratio. The ration in this problem is - 1/5. We already know your a1, your first number. Plug everything in.

    s = 4/1 - (-1/5)

    s=4/1+1/5

    s=4 / (6/5)

    s=4*5/6 (multiplying the reciprocal is the same as dividing)

    s=20/6

    s = 3 1/3
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