Exam 11: Sequences, Series, and Probability

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Solve the problem. -Give the number of possible outcomes for tossing 3 coins.

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Use the addition rule to solve the problem. -Give the probability that the roll of a die will show a number less than 6.

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For each given statement Sn, write the statements For each given statement Sn, write the statements   and   and verify that they are true. - and For each given statement Sn, write the statements   and   and verify that they are true. - and verify that they are true. -For each given statement Sn, write the statements   and   and verify that they are true. -

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Write the complete binomial expansion. -Write the complete binomial expansion. -

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Solve the problem. -A bag contains 7 apples and 5 oranges. If you select 6 pieces of fruit without looking, how many ways can you get 6 apples?

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Write a formula for the nth term of the given geometric sequence. Do not use a recursion formula. -Write a formula for the nth term of the given geometric sequence. Do not use a recursion formula. -

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Evaluate the expression. -C(12, 8)

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Solve the problem. -A ball is dropped from a height of 6.0 m. On each upward bounce the ball returns to Solve the problem. -A ball is dropped from a height of 6.0 m. On each upward bounce the ball returns to   of its previous height. Find the total vertical distance the ball travels before coming to rest. of its previous height. Find the total vertical distance the ball travels before coming to rest.

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Use the addition rule to solve the problem. -Each of ten tickets is marked with a different number from 1 to 10 and put in a box. If you draw a ticket from the box, what is the probability that you will draw 7, 8, or 4?

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Solve the problem. -If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore leap years.

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Rewrite the series using the new index j as indicated. -Rewrite the series using the new index j as indicated. -

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Use the addition rule to solve the problem. -One digit from the number 6,353,883 is written on each of seven cards. What is the probability of drawing a card that shows 6, 3, or 5?

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Write out the first five terms of the sequence. -Write out the first five terms of the sequence. -

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Find the sum of the geometric series. -Find the sum of the geometric series. -

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Solve the problem. -A musician plans to perform 4 selections. In how many ways can she arrange the musical selections?

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Write a recursion formula for the sequence. -7, 16, 25, 34, . . .

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Find the probability of the event. -A bag contains 13 balls numbered 1 through 13. What is the probability of selecting a ball that has an even number when one ball is drawn from the bag?

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Write a formula for the nth term of the given geometric sequence. Do not use a recursion formula. -Write a formula for the nth term of the given geometric sequence. Do not use a recursion formula. -

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Find the sum of the series. -Find the sum of the series. -

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Find the indicated part of the arithmetic sequence. -Find the eighth term of the sequence that has a first term of -8 and a common difference of 5.

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