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(1-1/3)(1-1/3)(1-1/4)(1-1/5) . . . (1-2013)

I really need to understand this. I don't care about the answer. XD

  • Algebra -

    just simplify and multiply

    (1-1/2)(1-1/3)(1-1/4) = 1/2 * 2/3 * 3/4 = 1/4

    You can see how they collapse, all except the last factor.

    So, the long product above is just 1/2013

  • Algebra -

    Try to do everything inside each individual parenthesis.
    So in this case I see that there are a lot of fractions, try to convert everything into fractions and that will make the math inside the parenthesis much easier. Once you have them all you can go ahead and multiply them all.

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