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summing multiples


Find the sum of all the multiples of 3 from 1 through 300. Do you see a pattern developing? Find the sum of the multiples of 7 from 1 through 700. Have you found the pattern? Next suppose we let N be any whole number. Find the sum of all the multiples of N from 1 through 100*N.

(Source: Adapted from Mathematics Teaching in the Middle School, Sep-Oct1994)


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