Geometric Series Practice

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What is a geometric series?

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A geometric series is the sum of the terms of a geometric sequence, where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

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

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How do you find the common ratio in a geometric series?

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What is the condition for convergence of an infinite geometric series?

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Front

What is the formula for the sum of an infinite geometric series?

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Front

Evaluate the sum of the geometric series: 2, 6, 18, ... up to 4 terms.

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What happens to the sum of a geometric series if the common ratio is greater than 1?

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If the common ratio is greater than 1, the series diverges, meaning the sum approaches infinity.

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What is the first term of a geometric series?

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If a geometric series has a first term of 5 and a common ratio of 2, what is the second term?

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How do you determine if a geometric series diverges?

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