Exam 13: Sequences

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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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E

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

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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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C

Find the value of Find the value of   for the sequence 26, 23, 20, 17, . . . . for the sequence 26, 23, 20, 17, . . . .

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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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Expand and simplify. Expand and simplify.

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To save money for holiday presents, a person deposits $4 in a savings account on January 1, and then deposits an additional $4 every week thereafter until Christmas. Write a sequence for the money in that savings account for the first 10 weeks of the year. __________ Write the general term for the sequence above. To save money for holiday presents, a person deposits $4 in a savings account on January 1, and then deposits an additional $4 every week thereafter until Christmas. Write a sequence for the money in that savings account for the first 10 weeks of the year. __________ Write the general term for the sequence above.   __________ If there are 50 weeks from January 1 to Christmas, how much money will be available for spending on Christmas presents? $ __________ __________ If there are 50 weeks from January 1 to Christmas, how much money will be available for spending on Christmas presents? $ __________

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The fifth term in the expansion of The fifth term in the expansion of   will give the probability that in a family with 9 children, 4 will be boys and 5 will be girls. Find the fifth term. will give the probability that in a family with 9 children, 4 will be boys and 5 will be girls. Find the fifth term.

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The following problem refers to the arithmetic sequence. Find the 14th term and the sum of the first 14 terms of the sequence The following problem refers to the arithmetic sequence. Find the 14th term and the sum of the first 14 terms of the sequence

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Solve the equation for Solve the equation for    Solve the equation for

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

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

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

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Given Given   and   in an arithmetic sequence, and   find n . n = __________ and Given   and   in an arithmetic sequence, and   find n . n = __________ in an arithmetic sequence, and Given   and   in an arithmetic sequence, and   find n . n = __________ find n . n = __________

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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 .

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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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An electric forklift sells for $122,000 when new. Each year after that, it decreases $16,000 in value. Find an arithmetic sequence that gives the value of the forklift at the end of each of the first 5 years after it is purchased. Construct a line graph for this sequence.

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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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Simplify Simplify   and   . and Simplify   and   . .

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