MATHS

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Find the value of 1/10+1/100+1/1000+1/10000+...
Leave your answer as a fraction

  • MATHS -

    you have a geometric series
    with
    a = 1/10 and r = 1/10

    sum(∞ = a/(1-r)
    = (1/10) / (9/10)
    = (1/10)(10/9) = 1/9

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