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Algebra II: Sequences and Series Chapter Exam

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!

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Question 1 1. Which of the following is an arithmetic sequence?

Question 2 2. Find the sum.

Question 3 3. A series is the what of a sequence?

Question 4 4.

What is the common ratio for this geometric sequence?

4, 12, 36, . . .

Question 5 5. What is the sum of the infinite geometric series where the beginning term is 1 and the common ratio is 1/3?

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Question 6 6. Which of the following sequences follows this formula.

Question 7 7. Find the sum.

Question 8 8.

What is the common difference of this arithmetic sequence?

4, 8, 12, 16, . . .

Question 9 9. What is the last term of the answer?

Question 10 10. Which of the following has a common ratio of 3?

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Question 11 11.

What is the common difference of this arithmetic sequence?

1, 4, 7, 10, . . .

Question 12 12. What is the sum of the infinite geometric series where the first term is 3 and the common ratio is 9?

Question 13 13. Which of the following geometric series below can we use the formula to find the sum of the infinite geometric series?

Question 14 14. What do you have to assume in mathematical induction?

Question 15 15. Perform the first step of mathematical induction for the mathematical statement n + 1 > n.

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Question 16 16.

What is the common difference of this sequence?

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

Question 17 17. What is the recursive rule here?

Question 18 18.

What is the 30th number in this sequence?

{2, 5, 8, . . .}

Question 19 19. Sigma notation looks like what?

Question 20 20. Which of the following is a geometric sequence?

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Question 21 21. Which one is the tetrahedral sequence?

Question 22 22. Find the sum of the first four terms of the geometric sequence that begins with 1 with a common ratio of 3.

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

Question 24 24. Evaluate.

Question 25 25. Which is the finite sequence of the first four multiples of 9?

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Question 26 26. Which of the following is the cube sequence?

Question 27 27.

What is the sum of the first 14 terms of this sequence?

{1, 5, 9, . . .}

Question 28 28. Which sequence begins with 1, 3, 6, . . .?

Question 29 29.

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 30 30. What do you need to do to prove the second step of mathematical induction?

Algebra II: Sequences and 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!

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