Warmup 2.8 Mixed Series

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What is the formula for the sum of a geometric series?

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The sum of a geometric series can be calculated using the formula: S = a / (1 - r), where 'a' is the first term and 'r' is the common ratio, provided |r| < 1.

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What is a p-series?

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What is the Ratio Test for convergence?

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What does it mean for a series to diverge?

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A series diverges if the sum of its terms does not approach a finite limit as the number of terms increases.

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The sum of the series is 6.

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What is the divergence test?

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The divergence test states that if the limit of the terms of a series does not approach zero, the series diverges.