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Since the

is a constant, the series convergences.

The sum to infinity

Let denote the term of the AP.

Since they are consecutive terms of a GP,

, thus its not convergent

Sum of first 3 terms

—(1)

Sum of last 3 terms ; Here we consider an AP that has first term and common difference .

—(2)

Sum of n terms =

—(3)

Solve for n.

(i) Volume,

Volume of kth later,

(ii)

Since exists.

Theoretical Max Volume, .

Total Volume,

We want

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