does the infinite geometric series diverge or converge? 2+6+18+54+...

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Guest Jul 9, 2015

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Best Answer

A geometric series converges only when the common ratio is a number strictly between -1 and +1.

Since the common ratio (the number that you use to multiply a term to get the next term) is 3, this series diverges.

geno3141 Jul 10, 2015

geno3141 · Answer 1 · 2015-07-10T01:56:19

A geometric series converges only when the common ratio is a number strictly between -1 and +1.

Since the common ratio (the number that you use to multiply a term to get the next term) is 3, this series diverges.