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

 Jul 9, 2015

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 #1
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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.

 Jul 10, 2015
 #1
avatar+17776 
+5
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

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