Exam 10: Additional Topics in Algebra

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Write the first four terms of the arithmetic sequence with the given first term and common difference. a1 = 3, d = 3

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Alex has 6 shirts, 6 pairs of pants, and 5 pairs of shoes. How many outfits can he wear?

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Use the following to answer questions : 10, 100, 1000, 10,000, 100,000, . . . -Predict the next term for the sequence.

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Write the series in sigma notation. Simplify the series (if possible) before you begin. Write the series in sigma notation. Simplify the series (if possible) before you begin.

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Write the sum using sigma notation. Answers are not necessarily unique. 1 - 4 + 9 - 16 + 25

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How many distinguishable permutations can be formed from the letters of the word assassin?

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Write the sum using sigma notation. Answers are not necessarily unique. 10 + 20 + 30 + 40 + 50 + 60

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How many different ways can 6 people stand in line at a cash register?

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Find the number of terms n in the sequence. a1 = 3, an = 192, and r = 2.

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Use the following to answer questions : A geometric sequence has terms a3 = 576 and a6 = 243. -Find the common ratio r.

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Use the following to answer questions : an = 7n + 5 -Find a5.

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Two dice are rolled. What is the probability that the sum is not 6?

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Use the following to answer questions : A teacher asked her students, "Do you like strawberry ice cream?" The responses are shown in the following table. Use the following to answer questions : A teacher asked her students, Do you like strawberry ice cream? The responses are shown in the following table.    One student is selected at random. -What is the probability the student answered Yes or is a boy? One student is selected at random. -What is the probability the student answered "Yes" or is a boy?

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Determine whether the infinite geometric series has a finite sum. If so, find the limiting value. 9 + 27 + 81 + 243 + 729 + . . .

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Determine if the sequence given is arithmetic. If yes, name the common difference. 4, 6, 8, 10, 12, . . .

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Use the following to answer questions : A box contains five blue, eight green, and three yellow marbles. -What is the probability the first marble you draw out is blue or green?

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Use the following to answer questions : In a class of 20 students, there are 12 girls and 8 boys. Three students are randomly selected to be teacher's assistants. -What is the probability that the group consists of exactly two boys? Round your answer to four decimal places.

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Evaluate Evaluate   . .

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Write out the first four terms in the sequence. Write out the first four terms in the sequence.

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Find the value of 9C0 either using Find the value of <sub>9</sub>C<sub>0</sub> either using   (r factors of n! over r!) or using   . (r factors of n! over r!) or using Find the value of <sub>9</sub>C<sub>0</sub> either using   (r factors of n! over r!) or using   . .

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