Describe why the only way an infinite geometric series has a sum is if |r| < 1.

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asked Oct 5, 2018 119k views

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Andresk · Answer 1 · 2018-10-10T05:48:10+0000

An infinite geometric series is the sum of an infinite geometric sequence . This series would have no last term. The general form of the infinite geometric series is a1+a1r+a1r2+a1r3+...a1+a1r+a1r2+a1r3+... , where a1a1 is the first term and rr is the common ratio.

Describe why the only way an infinite geometric series has a sum is if |r| < 1.

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