Algebra 2

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Find the sum of the infinite series 1/3+1/9+1/27+... if it exists

  • Algebra 2 -

    this is a GS where
    a = 1/3
    r =1/3

    sum(infinite # of terms) = a/(1-r)
    = (1/3)/(1 - 1/3)
    = (1/3) / (2/3)
    = (1/3)(3/2)
    = 1/2

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