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Published byChristiana Patterson Modified over 9 years ago
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12.4: Infinite Geometric Series
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What is the pattern? What are the next three terms? What’s going on with the “…”? Infinite Geometric Series: Notation: S 4 versus S
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Can this be done? Shouldn’t the sum be infinite? 1 unit
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In order for an infinite sum to exist, each term must be smaller than the term before…
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List the first 3 terms of the series. Then use appropriate formulas to evaluate its sum (do not list all its terms!)
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Write 0.5727272… as a fraction in lowest terms.
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Write 3.1242424… as a fraction in lowest terms.
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Have it clear!
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A pendulum that is released to swing freely travels 18 inches on the first swing (see drawing.) On each successive swing, the pendulum travels 80% of the distance of the previous swing. Assuming the pendulum continues to swing forever, what is the total distance travel by the pendulum?
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