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The first 3 terms of an arithmetic progression are -1, 0, 1. What is the sum of the...

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xetaalpha | Student | (Level 2) Honors

Posted June 2, 2012 at 7:30 AM via web

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The first 3 terms of an arithmetic progression are -1, 0, 1. What is the sum of the first 100 terms.

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted June 2, 2012 at 7:41 AM (Answer #1)

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The first three terms of an arithmetic progression are -1, 0, 1. The first term is -1 and the common difference is 1.

The sum of the first 100 terms is (100/2)*(2*-1 + 99*1) = 50*97 = 4850

The sum of the first 100 terms of an arithmetic progression with the first three terms -1, 0, 1 is 4850

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