Exam 13: Sequences

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Use the binomial formula to expand the following. Use the binomial formula to expand the following.

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Write the first five terms of the sequence defined by the recursion formula. Write the first five terms of the sequence defined by the recursion formula.

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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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Write the sum with summation notation. Do not calculate the sum. Write the sum with summation notation. Do not calculate the sum.

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

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Expand and simplify. Expand and simplify.

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Determine the general term for the sequence. Determine the general term for the sequence.

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Use the binomial formula to expand the following. Use the binomial formula to expand the following.

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Determine whether the following sequence is an arithmetic progression. If the sequence is an arithmetic progression, identify the common difference d . Determine whether the following sequence is an arithmetic progression. If the sequence is an arithmetic progression, identify the common difference d .   Is the sequence an arithmetic progression? Answer yes or no . __________ What is the common difference? __________ Is the sequence an arithmetic progression? Answer yes or no . __________ What is the common difference? __________

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Write the first ten terms of the sequence defined by the recursion formula. Write the first ten terms of the sequence defined by the recursion formula.

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

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Write the following sum in summation notation. Do not calculate the sum. Write the following sum in summation notation. Do not calculate the sum.

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

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If, in an arithmetic sequence, If, in an arithmetic sequence,   and   , find   and   . and If, in an arithmetic sequence,   and   , find   and   . , find If, in an arithmetic sequence,   and   , find   and   . and If, in an arithmetic sequence,   and   , find   and   . .

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This problem gives some information about a specific geometric progression. This problem gives some information about a specific geometric progression.   . r = __________ . r = __________

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Find Find   and d for an arithmetic sequence with   and   . and d for an arithmetic sequence with Find   and d for an arithmetic sequence with   and   . and Find   and d for an arithmetic sequence with   and   . .

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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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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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Expand and simplify. Expand and simplify.

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