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

Respuesta :

Answer:

diverges

Explanation:

the answer is diverges

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

What is geometric series?

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.

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