Exam 11: Sequences, Series, and Probability

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Solve the problem. -Solve the problem. -  Give the number of possible outcomes for spinning the spinner 9 times. Give the number of possible outcomes for spinning the spinner 9 times.

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Solve the problem. -What is the coefficient of Solve the problem. -What is the coefficient of   in the expansion of  in the expansion of Solve the problem. -What is the coefficient of   in the expansion of

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Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer. -Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer. -  is prime. is prime.

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Determine if the given sequence could be an arithmetic sequence. -Determine if the given sequence could be an arithmetic sequence. -

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Solve. -A signal is made by placing 3 flags, one above the other, on a flag pole. If there are 9 different flags available, how many possible signals can be flown?

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Solve the problem. -If the police have 8 suspects, how many different sets of 5 suspects can they select for a lineup?

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Solve the problem. -A basketball player with a free throw shooting percentage of 60% gets fouled and goes to the line to shoot two free throws. What are the odds in favor of her making her first shot?

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Use the addition rule to solve the problem. -Use the addition rule to solve the problem. -  What is the probability that the arrow will land on an odd number? What is the probability that the arrow will land on an odd number?

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Solve the problem using the idea of labeling. -How many permutations are there of the letters in the word BASEBALL?

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Solve the problem. -The probability that Luis will pass his statistics test is 0.94. Find the probability that he will fail his statistics test.

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

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Write out all the terms of the series. -Write out all the terms of the series. -

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Solve the problem. -A restaurant offered salads with 3 types of lettuce, 5 different toppings, and one choice of 4 different dressings. How many different types of salad could be offered?

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Provide an appropriate response. -Which of these is not an arithmetic sequence?

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Find the required part of the geometric sequence. -Find the first term of a geometric sequence with the sixth term -78,732 and common ratio of -3.

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Use mathematical induction to prove the statement is true for all positive integers n. -Use mathematical induction to prove the statement is true for all positive integers n. -

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Find the first five terms of the infinite sequence whose nth term is given. -Find the first five terms of the infinite sequence whose nth term is given. -

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Solve the problem. -If the odds that it will rain are 4 to 7, what is the probability of rain?

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Find the probability of the event. -Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be greater than 10?

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