# Calculating Sequences and Series: Tutoring Solution 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

#### Question 1 1. Find the sum of the following geometric series:

#### Question 2 2. Choose the equation below that represents the rule for the nth term of the following geometric sequence: 128, 64, 32, 16, 8, ...

#### Question 3 3. What is the sum of the arithmetic series 106 +100 + 94 + ... + 28 + 22?

#### Question 4 4. A brick wall contains 52 bricks in its bottom row and 49 bricks in the next row up from the bottom row. Each subsequent row contains 3 fewer bricks than the row immediately below it. If the wall contains 16 rows, how many bricks total make up the wall?

#### Question 5 5. If a2 = 5 and a8 = 35, what is the value of a30?

### Page 2

#### Question 6 6. If 55 and 89 are two sequential terms of the Fibonacci sequence, what term would come next?

#### Question 7 7. Which group of numbers does not appear to be a sequence with a set pattern?

#### Question 8 8. A brick wall has 60 bricks in the first row, but each row has 3 fewer bricks than the previous one. How many bricks are in the 12th row?

#### Question 9 9. What is the most specific term that describes the numbers 5, 10, 15, 20, 25, ...?

#### Question 10 10. Which of the following sequences is NOT geometric?

### Page 3

####
Question 11
11.
In the sequence 9, 14, 19, 24, 29,.... Say we're using *a* to describe the terms. What is the value of the term below?

#### Question 12 12. Which rule represents the nth term in the sequence 9, 16, 23, 30...?

#### Question 13 13. Which choice below represents an arithmetic series?

#### Question 14 14. What is the 83rd term of the sequence 91, 87, 83, 79...?

#### Question 15 15. A ball is dropped and begins bouncing. On the first bounce, the ball travels 3 feet. Each consecutive bounce is 1/8 the distance of the previous bounce. What is the total distance that the ball travels? Round to the nearest hundredth.

### Page 4

####
Question 16
16.
What is the rule for the *n*th term of the sequence with a7 = 53 and a13 = 101?

#### Question 17 17. What is the sum of all the even integers between 2 and 250?

#### Question 18 18. Evaluate the following sum:

#### Question 19 19. Find the sum of the following geometric series:

#### Question 20 20. Which sequence below is a geometric sequence?

### Page 5

####
Question 21
21.
Which of the following would be the 14th term of the sequence below?

11, 22, 44, 88, 176, ...

#### Question 22 22. Which equation below represents a geometric sequence?

####
Question 23
23.
What is the rule for the *n*th term of the geometric sequence if the third term is 96 and the fifth term is 1,536?

#### Calculating Sequences and Series: Tutoring Solution 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!