# Sequences and Series Chapter Exam

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#### Question 1 1. 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 2 2. If you have an arithmetic sequence, the first number is 2 and the common difference is 4, what is the 4th number in the sequence?

#### Question 3 3. Given item A, which of the following would be the value of item B?

#### Question 4 4. Find the FALSE statement.

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

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#### Question 6 6. If the numbers in sequence are evenly spaced (same difference between them), what kind of sequence do you have?

#### Question 7 7. The formula for a finite geometric series is:

#### Question 8 8. Express this series using sigma notation: 3 + 5 + 9 + 17 + 33.

#### Question 9 9. Which of the following statements is true?

#### Question 10 10. Which of the following is a series?

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Question 11
11.
What comes next in this sequence:

1/2, 1/4, 1/8, 1/16, . . .

#### Question 12 12. Find the sum of the following geometric series:

####
Question 13
13.
John wishes to calculate the sum 1 + 8 + 15 + 22 + 29 using the formula for an arithmetic series. What number should he use to replace the variable *n* in the formula *n*/2(*a*1 +*a*n)?

*n*

#### Question 14 14. 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 15 15. Find the infinite sequence.

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Question 16
16.
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?

#### Question 17 17. Find the geometric sequence.

#### Question 18 18. Which equation below represents a geometric sequence?

#### Question 19 19. What is the 83rd term of the sequence 91, 87, 83, 79...?

#### Question 20 20. If 55 and 89 are two sequential terms of the Fibonacci sequence, what term would come next?

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#### Question 21 21. Find the sum of the first 10 even numbers without just listing them and adding them up.

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Question 22
22.
What is the rule for the *n*th term of the sequence with a7 = 53 and a13 = 101?

#### Question 23 23. What does the notation below mean to do?

#### Question 24 24. Which rule represents the nth term in the sequence 9, 16, 23, 30...?

#### Question 25 25. Find the arithmetic sequence.

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#### Question 26 26. Evaluate the following:

#### Question 27 27. Choose the equation below that represents the rule for the nth term of the following geometric sequence: 128, 64, 32, 16, 8, ...

#### Question 28 28. Which group of numbers does not appear to be a sequence with a set pattern?

#### Question 29 29. What is the sum of all the even integers between 2 and 250?

####
Question 30
30.
In the formula for calculating an arithmetic series, what does *a*_1 represent?

*a*_1

#### 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!