Find a formula for the nth partial sum of the series 3 + 34 + 316 + 36

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Find a formula for the nth partial sum of the series 3 + 34 + 316 + 364+⋯+34 n−1+⋯ and use it to find the series' sum if the series converges. The formula for the nth partial sum, sn, of the series is If the series converges, what is the series' sum? Select the correct choice below and fill in any answer boxes within your choice. A. The series converges. The series' sum is . (Type an integer or a simplified fraction. ) B. The series diverges.

$Find a formula for the nth partial sum of the series 3 + 34 + 316 + 364+⋯+34 n−1+⋯ and use it to find the series' sum if the series converges. The formula for the nth partial sum, sn, of the series is If the series converges, what is the series' sum? Select the correct choice below and fill in any answer boxes within your choice. A. The series converges. The series' sum is . (Type an integer or a simplified fraction. ) B. The series diverges.$

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Find a formula for the

n^{th}

partial sum of the series

3 + \frac{3}{4} + \frac{3}{16} + \frac{3}{64} + \dots + \frac{3}{4^{n - 1}} + \dots

and use it to find the series' sum if the series converges.

The formula for the

n^{th}

partial sum,

s_{n}

, of the series is

◻

If the series converges, what is the series' sum? Select the correct choice below and fill in any answer boxes within your choice. A. The series converges. The series' sum is

◻

. (Type an integer or a simplified fraction.) B. The series diverges.

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