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Total of the first fifty positive integers

Question

Add up every whole number from 11 through 5050. What do you get?

Short answer

1275. Pair the first and last terms: 1+50=2+49=⋯=511+50=2+49=\cdots=51, with 2525 such pairs, so the total is 25×51=50⋅512=127525\times51=\tfrac{50\cdot51}{2}=1275.

Adapted from QuantQuestions.io; question and answer rewritten by SelfMadeQuant.com.

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