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AP Calculus AB/BC
Unit 10 – Infinite Sequences and Series (BC Only)
Topic 10.2
How is a geometric series different from an arithmetic series?
In a geometric series, each term is obtained by adding a constant value to the previous term, while in an arithmetic series, each term is obtained by multiplying a constant value to the previous term.
In a geometric series, the sum of the series is determined by the first term and the common ratio, while in an arithmetic series, the sum of the series is determined by the first term and the common difference.
In a geometric series, the sum of the series is finite, while in an arithmetic series, the sum of the series is infinite.
In a geometric series, the difference between consecutive terms is constant, while in an arithmetic series, the ratio between consecutive terms is constant.
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AP Calculus AB/BC - 10.2 Working with Geometric Series
Key terms
Geometric Series
Arithmetic Series
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