Copyright

TExES Physics/Math 7-12: Sequences & 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!

Page 1

Question 1 1. Which of the following sequences follows this formula?

Question 2 2. For this binomial problem, what is the exponent of the b in the second term of the answer?

Question 3 3.

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 4 4. Which one of these sequences is a finite sequence?

Question 5 5. What is the rule in this formula?

Page 2

Question 6 6.

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, to the nearest dollar.

What is the future value after 20 years?

Question 7 7. Find the sum.

Question 8 8. What are the coefficients when n = 4 for example as in the problem (a + b)^4?

Question 9 9.

What is the sum of the first 21 terms of this sequence?

{2, 4, 6, 8, . . .}

Question 10 10. Which one of these is NOT an arithmetic sequence?

Page 3

Question 11 11. Sigma notation looks like what?

Question 12 12. Evaluate.

Question 13 13. Which of the following has a common ratio of 3?

Question 14 14.

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?

Question 15 15. What is the last term of the answer?

Page 4

Question 16 16.

What is the 20th term of this sequence?

2, 6, 18, . . .

Question 17 17.

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 18 18. What is the sum of the infinite geometric series where the beginning term is 2 and the common ratio is 1/2?

Question 19 19. What is the recursive rule here?

Question 20 20. For which of the following can you use the Binomial Theorem?

Page 5

Question 21 21.

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 22 22.

What is the sum of the first 15 terms of this sequence?

{1, 8, 64, . . .}

Question 23 23. What is the sum of the infinite geometric series where the beginning term is 1/2 and the common ratio is 1/2?

Question 24 24. Which of the following sequences follows this formula.

Question 25 25. 0!/3!

Page 6

Question 26 26. What is the sum of the infinite geometric series where the beginning term is 1 and the common ratio is 1/3?

Question 27 27.

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

3, 6, 12, . . .

Question 28 28. What do you have to assume in mathematical induction?

Question 29 29. Please evaluate.

Question 30 30.

What is the common difference of this arithmetic sequence?

1, 4, 7, 10, . . .

TExES Physics/Math 7-12: 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!

TExES Physics/Mathematics 7-12 (243): Practice & Study Guide  /  Math Courses
Support