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    Combinatorial Techniques : What is the algorithm for computing the sum of an arithmetic progression of n terms with first term a and common difference d?

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    What is the algorithm for computing the sum of an arithmetic progression of n terms with first term a and common difference d?

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    Step 1 Set S = a, k = 1, and t = a.
    Step 2 while k < n
    (a) Replace t with t + d
    (b) Replace S with S + 1
    (b) Replace k with k + 1
    endwhile
    Setp 3 Print S.

    How did you determine this? Need tutoring help so I can learn how to answer additional ones. Thanks and Happy New Year!

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    https://brainmass.com/math/discrete-math/221683

    Solution Preview

    As far as I understand it, you wanted an algorithm for a function that will accept *variables*, which are a (the first term), d (the difference between consecutive terms) and n (number of terms).
    Thu function should return a single number "Sum" which is the sum of all the terms in the series.

    First, note that the algorithm that you provided in the question is completely wrong. Replacing S with S+1 simply raises the sum accumulator by 1, which is obviously wrong if the difference between consecutive terms is more ...

    $2.19