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31 May, 10:01

The formula for the sum of an infinite geometric series, s=a1/1-r, may be used to convert o. 23 to a fraction. What are the values of a1and r?

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  1. 31 May, 11:55
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    7/30

    Step-by-step explanation:

    i think you are talking about 0.2333333 ...

    =0.2+0.03+0.003+0.0003+0.00003 + ...

    =0.2+x

    x=0.03+0.003+0.0003+0.00003 + ...

    a1=0.03

    r = (0.003) / (0.03) = (0.003) / 0.030) = 3/30=1/10=0.1

    x=a1 / (1-r) = 0.03 / (1-0.1) =.03/0.90=3/90=1/30

    so 0.233333 ... = 0.2+1/30=2/10+1/30=6/30+1/30=7/30
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