ZoraidaM723865 ZoraidaM723865

31-10-2022
Mathematics

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does the series 3+9+27+81+…. diverge or converge

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AletheaV121252 AletheaV121252

31-10-2022

Given the series

[tex]3+9+27+81+\cdots[/tex]

which is a geometric series with first term 3 and common ratio 3.

A geometric series conveges if and only if |r| < 1, where r is the common ratio. Here, r = 3 > 1. So, the given geometric series diverges.

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