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Math Help - Wishful Thinking Possible for this problem?

  1. #1
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    Wishful Thinking Possible for this problem?

    Didn't know whether this should go here or in the the fractions forums but I learned wishful thinking in my geometry class so yeah.
    Anyways the problem goes like this (sorry for no visual I'll try my best)

    ...2......2......2
    1-3+ 1-4+ 1-4

    The denominator changes by one all the way up to 100. Is there any way to use wishful thinking to find the sum up to the 1- 2/100 ?
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  2. #2
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    Quote Originally Posted by MagicBirdy View Post
    Didn't know whether this should go here or in the the fractions forums but I learned wishful thinking in my geometry class so yeah.
    Anyways the problem goes like this (sorry for no visual I'll try my best)

    ...2......2......2
    1-3+ 1-4+ 1-4

    The denominator changes by one all the way up to 100. Is there any way to use wishful thinking to find the sum up to the 1- 2/100 ?
    Wishful thinking?

    \sum_{n=3}^{100}1-\frac{2}{n} = \sum_{n=3}^{100}\frac{n-2}{n}
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