Prove that the sum of the integers from 1 through 100 is 5050. (Hint: Instead of

Chapter 2, Problem 76

(choose chapter or problem)

Prove that the sum of the integers from 1 through 100 is 5050. (Hint: Instead of actually adding all the numbers, try to make the same clever observation that the German mathematician Karl Friederick Gauss [17771855] made as a schoolchild: Group the numbers into pairs, using 1 and 100, 2 and 99, etc.)

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