Exam 11: Infinite Sequences and Series

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Select the correct Answer for each question. -Determine whether the sequence convergent or divergent. Select the correct Answer for each question. -Determine whether the sequence convergent or divergent.

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Find an approximation of the sum of the series accurate to two decimal places. Find an approximation of the sum of the series accurate to two decimal places.

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Select the correct Answer for each question. -A sequenceis Select the correct Answer for each question. -A sequenceis   defined recursively by the equation   where   Use your calculator to guess the limit of the sequence. defined recursively by the equation Select the correct Answer for each question. -A sequenceis   defined recursively by the equation   where   Use your calculator to guess the limit of the sequence. where Select the correct Answer for each question. -A sequenceis   defined recursively by the equation   where   Use your calculator to guess the limit of the sequence. Use your calculator to guess the limit of the sequence.

(Multiple Choice)
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Select the correct Answer for each question. -Find all positive values of Select the correct Answer for each question. -Find all positive values of   for which the series   converges. for which the series Select the correct Answer for each question. -Find all positive values of   for which the series   converges. converges.

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Find the radius of convergence and the interval of convergence of the power series. Find the radius of convergence and the interval of convergence of the power series.

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If $600 is invested at If $600 is invested at   interest, compounded annually, then after n years the investment is worth   dollars.Find the size of investment after 7 years. interest, compounded annually, then after n years the investment is worth If $600 is invested at   interest, compounded annually, then after n years the investment is worth   dollars.Find the size of investment after 7 years. dollars.Find the size of investment after 7 years.

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Test the series for convergence or divergence. Test the series for convergence or divergence.

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Determine whether the given series converges or diverges.If it converges, find its sum. Determine whether the given series converges or diverges.If it converges, find its sum.

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Determine whether the series is convergent or divergent. Determine whether the series is convergent or divergent.

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Use series to evaluate the limit correct to three decimal places. Use series to evaluate the limit correct to three decimal places.   Select the correct Answer Select the correct Answer

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Determine whether the series is convergent or divergent. Determine whether the series is convergent or divergent.

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Determine whether the sequence defined by Determine whether the sequence defined by   onverges or diverges.If it converges, find its limit. onverges or diverges.If it converges, find its limit.

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Find the radius of convergence and the interval of convergence of the power series.\ Select the correct Answer Find the radius of convergence and the interval of convergence of the power series.\ Select the correct Answer

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Determine whether the sequence converges or diverges.If it converges, find the limit. Determine whether the sequence converges or diverges.If it converges, find the limit.

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Select the correct Answer for each question. -Determine whether the geometric series converges or diverges.If it converges, find its sum. Select the correct Answer for each question. -Determine whether the geometric series converges or diverges.If it converges, find its sum.

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Find all values of p for which the series Find all values of p for which the series   converges. converges.

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Find an approximation of the sum of the series accurate to two decimal places. Find an approximation of the sum of the series accurate to two decimal places.

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Select the correct Answer for each question. -For which positive integers k is the series Select the correct Answer for each question. -For which positive integers k is the series   convergent? convergent?

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Select the correct Answer for each question. -Use the power series for Select the correct Answer for each question. -Use the power series for   to estimate   correct to four decimal places. to estimate Select the correct Answer for each question. -Use the power series for   to estimate   correct to four decimal places. correct to four decimal places.

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Select the correct Answer for each question. -A rubber ball is dropped from a height of 8 m onto a flat surface.Each time the ball hits the surface, it rebounds to 50% of its previous height.Find the total distance the ball travels.

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