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Math Help - Changing the Limits of a Summation

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    Changing the Limits of a Summation

    Hi,



    The limits change from a variable in k to a variable in L. Then the summation sign is removed using some identity. I don't know how any of these two steps was carried out.

    Thanks for any explanations.
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  2. #2
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    Quote Originally Posted by algorithm View Post
    Hi,



    The limits change from a variable in k to a variable in L. Then the summation sign is removed using some identity. I don't know how any of these two steps was carried out.

    Thanks for any explanations.
    Substitute l = k - 2 \Rightarrow k = l + 2. k = 2 \Rightarrow l = 0 and k = n \Rightarrow l = n - 2.

    To evaluate the new sum you're expected to recognise that you have a geometric series (the common ratio is r = 0.9) and you're expected to know the formula for the sum of a geometric series.
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