# Algebra II: 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!

### Page 1

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Question 1
1.
What is the 10th term of this sequence?

7, 14, 28, . . .

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Question 2
2.
What is the common ratio for this geometric sequence?

4, 12, 36, . . .

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Question 3
3.
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 4 4. Which sequence begins with 1, 4, 9, . . .?

#### Question 5 5. Which sequence begins with 1, 3, 6, . . .?

### Page 2

#### Question 6 6. What is the sum of the infinite geometric series where the beginning term is 1 and the common ratio is 1/3?

#### Question 7 7. What is the first step of mathematical induction?

#### Question 8 8. 8!/6!

#### Question 9 9. What is the sum of the infinite geometric series where the first term is 3 and the common ratio is 9?

#### Question 10 10. What pattern does the exponents of the first term in the binomial follow according to the Binomial Theorem when expanded?

### Page 3

#### Question 11 11. Evaluate.

#### Question 12 12. What is the recursive rule here?

#### Question 13 13. Which sequence below has a 20th term of 40?

#### Question 14 14. A series is the what of a sequence?

#### Question 15 15. Please evaluate.

### Page 4

#### Question 16 16. Which of the following is an arithmetic sequence?

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Question 17
17.
What is the common ratio of this sequence?

9, 36, 144, . . .

#### Question 18 18. How many steps are in mathematical induction?

#### Question 19 19. Evaluate.

#### Question 20 20. 0!/3!

### Page 5

#### Question 21 21. Find the sum of the first four terms of the geometric sequence that begins with 1 with a common ratio of 3.

#### Question 22 22. Perform the first step of mathematical induction for the mathematical statement n + 1 > n.

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Question 23
23.
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 i equal to in this problem?

#### Question 24 24. What is 6!?

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Question 25
25.
What is the 20th term of this sequence?

2, 6, 18, . . .

### Page 6

#### Question 26 26. Which of the following sequences follows this formula.

#### Question 27 27. What do you have to assume in mathematical induction?

#### Question 28 28. Which sequence has a common difference of 5?

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Question 29
29.
What is the common difference of this sequence?

{1, 2, 4, 16, . . .}

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Question 30
30.
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 i equal to in this problem?

#### Algebra II: 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!