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r-ruslan [8.4K]
2 years ago
8

Determine whether the geometric series 1/54 + 1/9 + 2/3 + 4 + ... converges or diverges, and identify the sum if it exists.

SAT
2 answers:
maria [59]2 years ago
7 0

The geometric series 1/54 + 1/9 + 2/3 + 4 + ... diverges. The sum cannot tbe found.

<h3>What is geometric series?</h3>

A geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms.

The given series is divergent type. The sum of any geometric series can be find out using the formula

S =a (1-r) where r is the common ratio. In this series, there is no common ratio.

Thus, the series is divergent and sum doesn't exist.

Learn more about geometric series.

brainly.com/question/4617980

#SPJ2

Dmitrij [34]2 years ago
5 0

Answer:

diverges

Explanation:

the answer is diverges

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