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Thread: summation

  1. February 2nd 2009, 08:04 AM #1
    mathaddict
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    summation

    Why is <br /> \sum^{n}_{r=1}(4r^2-4r+1)=4\sum^{n}_{r=1}r^2-4\sum^{n}_{r=1}r+\sum^{n}_{r=1}1 ??<br /> <br />

    It looks like expansion but i don think it is ...
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  2. February 2nd 2009, 08:17 AM #2
    o_O
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    These properties hold for summations:
    • \sum_{k = 1}^n \left(a_k \pm b_k\right) = \sum_{k=1}^n a_k \pm \sum_{k=1}^n b_k
    • \sum_{k = 1}^n ca_k = c\sum_{k=1}^n a_k where c is a constant


    See how these apply to your summation?
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