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Math Help - Summing numbers 0 to 100

  1. #1
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    Summing numbers 0 to 100

    Suppose you have a list of numbers from zero to one hundred. How quickly can you add them all up without using a calculator?
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  2. #2
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    You can use Gauss method
    S=1 + 2 + 3 + \cdots + 98 + 99 + 100
    S=100 + 99 + 98 + \cdots + 3 + 2 + 1

    2S=101 + 101 + 101 + \cdots + 101 + 101 + 101

    2S is the sum of 100 terms equal to 101

    Therefore S=\frac{100\cdot101}{2}=5050
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  3. #3
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    thx

    thanks very much for your help
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  4. #4
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    Talking

    See also this thread.

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