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Math Help - Simplifying sigma

  1. #1
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    Simplifying sigma

    Hello I need help with this question:

    If f(x) is a funciton of x, defined for all nonnegative integers, simliplify the sum \sum_{i=1}^n[ (f(i) - f(i-1)]

    My attempt: \sum_{i=1}^n[f(i)]- \sum_{i=1}^n]f(i-1)]

    Then i kind of expanded f (i-1) in wrongly by saying it's equal to f(i) - f(1).
    My final answer is wrong because of this assumption.
    Where should I go from here?
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  2. #2
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    Re: Simplifying sigma

    I'd start by writing out the first few terms of each sum. You might see something cool happen...
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