# Algebra and Trigonometry

Mathematics

## Quiz 10 : Sequences, Series and Probability Study Flashcards  Looking for Calculus Homework Help?

## Quiz 10 :Sequences, Series and Probability

Question Type  Find the sum of the arithmetic sequence that satisfies the stated conditions. Free
Multiple Choice

C

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Choose question tag  Use the binomial theorem to expand and simplify. Free
Multiple Choice

B

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Choose question tag  Evaluate the expression. 6!0!
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Multiple Choice

E

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Choose question tag  Bode's sequence, defined by can be used to approximate distances of planets from the sun. These distances are measured in astronomical units, with 1 AU = 93,000,000 mi. For example, the third term corresponds to earth and the fifth term to the minor planet Ceres. Find the 4th term of the sequence.
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Choose question tag  A rubber ball is dropped from a height of 50 feet. If it rebounds approximately two-thirds the distance after each fall, use an infinite geometric series to approximate the total distance the ball travels.
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Choose question tag  Find the third term of the geometric sequence whose first two terms are 4 and 16.
Multiple Choice
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Choose question tag  Use the binomial theorem to expand and simplify. Multiple Choice
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Choose question tag  Use the binomial theorem to expand and simplify. Multiple Choice
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Choose question tag  Find the number. Multiple Choice
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Choose question tag  Without expanding completely, find the term in the expansion of the expression that contains . Multiple Choice
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Choose question tag  Use the principle of mathematical induction to find the equivalent expression for every positive integer n. Multiple Choice
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Choose question tag  Find the third term of the sequence: is the number of decimal places in .
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Choose question tag  Evaluate the expression. Multiple Choice
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Choose question tag  Find the sum. Multiple Choice
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Choose question tag  Find the third term of the recursively defined infinite sequence. Multiple Choice
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Choose question tag  Use the principle of mathematical induction to find the factor of the expression. Hint: Multiple Choice
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Choose question tag  If seven basketball teams are in a tournament, find the number of different ways that first, second, and third place can be decided, assuming ties are not allowed.
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Choose question tag  Find the fourth partial sum for the given sequence. Multiple Choice
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Choose question tag  A company is to distribute $29,000 in bonuses to its top five salespeople. The fifth salesperson on the list will receive$4,600, and the difference in bonus money between successively ranked salespeople is to be constant. Find the bonus for each salesperson.
Multiple Choice  Express the sum in terms of n. (Hint: Use the theorem on sums to write the sum as . Next, use the following formulas and the theorem on the sum of a constant.) 