Exam 13: Sequences

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Find the fraction form for Find the fraction form for

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Calculate both Calculate both   and   to show that they are equal. and Calculate both   and   to show that they are equal. to show that they are equal.

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A pendulum swings 9 feet left to right on its first swing, and on each swing following the first, swings A pendulum swings 9 feet left to right on its first swing, and on each swing following the first, swings   of the previous swing. The distance the pendulum traveled in 7 seconds can be expressed in summation notation   . Expand the summation notation and simplify. of the previous swing. The distance the pendulum traveled in 7 seconds can be expressed in summation notation A pendulum swings 9 feet left to right on its first swing, and on each swing following the first, swings   of the previous swing. The distance the pendulum traveled in 7 seconds can be expressed in summation notation   . Expand the summation notation and simplify. . Expand the summation notation and simplify.

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Write the sum with summation notation. Write the sum with summation notation.

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Simplify Simplify   and   .   __________   __________ and Simplify   and   .   __________   __________ . Simplify   and   .   __________   __________ __________ Simplify   and   .   __________   __________ __________

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Find the fraction form for Find the fraction form for

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Write the first four terms in the expansion of the following. Write the first four terms in the expansion of the following.

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Write the first five terms of the sequence with the following general term. Write the first five terms of the sequence with the following general term.

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Find the fraction form for Find the fraction form for

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Expand Expand

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This problem gives some information about a specific geometric progression. This problem gives some information about a specific geometric progression.   . .

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Write the first four terms in the expansion of the following. Write the first four terms in the expansion of the following.

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A pendulum swings 11 feet left to right on its first swing, and on each swing following the first, swings A pendulum swings 11 feet left to right on its first swing, and on each swing following the first, swings   of the previous swing. The distance the pendulum traveled in 5 seconds can be expressed in summation notation   . Expand the summation notation and simplify. Round your final answer to the nearest tenth. __________ feet of the previous swing. The distance the pendulum traveled in 5 seconds can be expressed in summation notation A pendulum swings 11 feet left to right on its first swing, and on each swing following the first, swings   of the previous swing. The distance the pendulum traveled in 5 seconds can be expressed in summation notation   . Expand the summation notation and simplify. Round your final answer to the nearest tenth. __________ feet . Expand the summation notation and simplify. Round your final answer to the nearest tenth. __________ feet

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Expand and simplify. Expand and simplify.

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Expand Expand

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Expand and simplify. Expand and simplify.

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Find the sum of the following geometric series. Find the sum of the following geometric series.

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The problem gives some information about a specific geometric progression. The problem gives some information about a specific geometric progression.   . .

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Write the sum with summation notation. Write the sum with summation notation.

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Find the value of Find the value of   and d for an arithmetic sequence with sum   and sum   . and d for an arithmetic sequence with sum Find the value of   and d for an arithmetic sequence with sum   and sum   . and sum Find the value of   and d for an arithmetic sequence with sum   and sum   . .

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