# Working with Sequences & Series Chapter Exam

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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#### Question 1 1. The local bowling team plays in a 7-team league where each team plays other teams 4 times in a season. How many different games will be played in a season?

#### Question 2 2. What are the coefficients when n = 4 for example as in the problem (a + b)^4?

#### Question 3 3. What is the first step of mathematical induction?

#### Question 4 4. What pattern does the exponents of the first term in the binomial follow according to the Binomial Theorem when expanded?

#### Question 5 5. For this binomial problem, what is the exponent of the b in the second term of the answer?

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Question 6
6.
Sarah is willing to pay $500 per month for an annuity with an annual interest rate of 6% where the bank pays the interest on a monthly basis. Sarah wants to know how much her annuity will be worth in 5 years.

What is the future value of this annuity after 5 years, to the nearest dollar?

#### Question 7 7. What is the recursive rule here?

#### Question 8 8. Evaluate the following:

#### Question 9 9. Perform the first step of mathematical induction for the mathematical statement n + 1 > n.

#### Question 10 10. For each day of one school week, Mrs. Hudson gives her students a quiz in either math, science, or history. How many different combinations of quizzes are possible for the week?

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#### Question 11 11. What is the sum of all the even integers between 2 and 250?

#### Question 12 12. Which sequence begins with 1, 4, 9, . . .?

#### Question 13 13. Solve 8! (factorial)

#### Question 14 14. At Peter's Pizzeria, you can create your pizza choosing from 3 toppings, 3 cheese combinations, and 4 sizes. What are the events in this scenario?

#### Question 15 15. Mr. Garcia always dresses in a shirt, slacks, and dress shoes. There are 64 different outfits he can make with them. If he has 8 shirts and 2 pairs of shoes, then how many pairs of slacks does he have?

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#### Question 16 16. Given item A, which of the following would be the value of item B?

#### Question 17 17. Which of the sequences below has the recursive rule where each number is the previous number times 2?

#### Question 18 18. What is the rule in this formula?

#### Question 19 19. Solve the Combination

#### Question 20 20. What do you need to do to prove the second step of mathematical induction?

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#### Question 21 21. A ball is dropped from an unknown height (h) and it repeatedly bounces on the floor. After each bounce, the ball reaches a height that is 2/3 of the height from which it previously fell. Which of the following represents the distance the ball bounces between the first and seventh bounces with sigma notation?

#### Question 22 22. Which sequence begins with 1, 3, 6, . . .?

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Question 23
23.
Bob goes to the bank to ask about an annuity. Bob tells the banker that he can put $300 into an annuity every month. The banker tells him he can make monthly interest payments with an annual interest rate of 4%. Bob wants to know the value of his annuity after 20 years.

What is n equal to in this problem?

#### Question 24 24. Jane is attempting to unlock her locker but has forgotten her locker combination. The lock uses 3 numbers and includes only the numbers 1 to 9. Each of the digits also can not be repeated in the combination. How many possible locker combinations can be formed?

#### Question 25 25. How many steps are in mathematical induction?

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Question 26
26.
Solve the expression 5*P*4 (*P* = permutation )

#### Question 27 27. Calculate 4! (factorial)

#### Question 28 28. Jimmy is making multi-flavored ice cream cones by scooping in different flavors one at a time. Jimmy has 6 different flavors but can only put 3 flavors in each cone. How many different arrangements of cones can Jimmy make?

#### Question 29 29. Which of the following is the cube sequence?

#### Question 30 30. Evaluate the following:

#### Working with Sequences & Series Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!