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13 December, 09:26

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

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  1. 13 December, 09:56
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    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 + a1 r + a1 r2 + a1 r3 + ... a1 + a1 r + a1 r2 + a1 r3 + ..., where a1 a1 is the first term and rr is the common ratio.
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