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Exam 13: Sequences

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Exam 1: Notation and Symbols329 Questionsadd course
Exam 2: Simplifying Expressions285 Questionsadd course
Exam 3: Paired Data and Graphing Ordered Pairs217 Questionsadd course
Exam 4: Multiplication With Exponents300 Questionsadd course
Exam 5: The Greatest Common Factor and Factoring by Grouping295 Questionsadd course
Exam 6: Reducing Rational Expressions to Lowest Terms263 Questionsadd course
Exam 7: Review of Solving Equations262 Questionsadd course
Exam 8: The Slope of a Line190 Questionsadd course
Exam 9: Rational Exponents264 Questionsadd course
Exam 10: Completing the Square187 Questionsadd course
Exam 11: Exponential Functions226 Questionsadd course
Exam 12: The Circle95 Questionsadd course
Exam 13: Sequences190 Questionsadd course
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A large copy machine sells for $16,000 when it is new. Its value decreases $3,200 each year after that. We can use an arithmetic sequence to find the value of the machine at the end of each year. If we let A large copy machine sells for $16,000 when it is new. Its value decreases $3,200 each year after that. We can use an arithmetic sequence to find the value of the machine at the end of each year. If we let represent the value when it is purchased, then is the value after 1 year, is the value after 2 years, and so on. Find the common difference d and the recursive formula for this sequence. represent the value when it is purchased, then A large copy machine sells for $16,000 when it is new. Its value decreases $3,200 each year after that. We can use an arithmetic sequence to find the value of the machine at the end of each year. If we let represent the value when it is purchased, then is the value after 1 year, is the value after 2 years, and so on. Find the common difference d and the recursive formula for this sequence. is the value after 1 year, A large copy machine sells for $16,000 when it is new. Its value decreases $3,200 each year after that. We can use an arithmetic sequence to find the value of the machine at the end of each year. If we let represent the value when it is purchased, then is the value after 1 year, is the value after 2 years, and so on. Find the common difference d and the recursive formula for this sequence. is the value after 2 years, and so on. Find the common difference d and the recursive formula for this sequence.

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Question 121

A large printing press sells for $225,000 when it is new. After that, its value decreases 25% each year. Write a geometric sequence that gives the value of the press at the end of each of the first 5 years after it is purchased. What is the common ratio r for this sequence? Construct a line graph for this sequence.

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Question 122

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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Question 123

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

(Short Answer)
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Question 124

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

(Multiple Choice)
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Question 125

Show that 0.444... is the same as Show that 0.444... is the same as . .

(Short Answer)
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Question 126

Expand and simplify. Expand and simplify.

(Multiple Choice)
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Question 127

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

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Question 128

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

(Short Answer)
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Question 129

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

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Question 130

Expand Expand

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Question 131

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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Question 132

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

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Question 133

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

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Question 134

Expand and simplify. Expand and simplify.

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Question 135

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

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Question 136

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

(Short Answer)
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Question 137

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

(Multiple Choice)
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Question 138

Find Find for an arithmetic sequence in which . __________ for an arithmetic sequence in which Find for an arithmetic sequence in which . __________ . Find for an arithmetic sequence in which . __________ __________

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Question 139

Expand Expand

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Question 140
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