Pennsylvania Grades 4-8 - Math Subject Concentration (5158): Practice & Study Guide  /  Math Courses

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Sequences & Patterns in Math 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.

Find a(6) in the following finite sequence:

4, 7, 12, 19, 28, a(6)

Question 2 2.

For the following geometric finite sequence, find the common ratio:

4, 2, 1, 1/2, 1/4, 1/8

Question 3 3. Which of the following is a geometric sequence with a common ratio of 7?

Question 4 4.

What is the common ratio of this sequence?

5, 25, 125, . . .

Question 5 5.

Find a general rule for the following finite sequence:

2, 20, 200, 2,000, 20,000, 200,000

Page 2

Question 6 6.

Write the next term in the following infinite sequence:

1/5, 2/5, 3/5, 4/5, 5/5, ...

Question 7 7.

Write a general rule for the following infinite sequence:

1/3, 1/6, 1/9, 1/12, 1/15, ...

Question 8 8.

Write a general rule for the following infinite sequence:

1/2, 2/3, 3/4, 4/5, 5/6, ...

Question 9 9.

For the following arithmetic finite sequence, find the common difference:

-8, -1, 6, 13, 20

Question 10 10. Which of the following is an arithmetic sequence?

Page 3

Question 11 11.

Find a(6) in the following finite sequence:

2/7, 4/7, 6/7, 8/7, 10/7, a(6)

Question 12 12. Which one of these is NOT an arithmetic sequence?

Question 13 13.

Define the following infinite sequence by type:

5.4, 5.0, 4.6, 4.2, 3.8, ...

Question 14 14.

What is the fifth term in this sequence?

7, 14, 28

Question 15 15. Which of the following has a common ratio of 3?

Page 4

Question 16 16.

What is the 10th term of this sequence?

2, 4, 6, 8, . . .

Question 17 17.

What is the common difference of this arithmetic sequence?

4, 8, 12, 16, . . .

Question 18 18. Which of the following is a geometric sequence?

Question 19 19.

What is the common difference of this arithmetic sequence?

1, 4, 7, 10, . . .

Question 20 20.

Write the first five terms of the following infinite sequence:

a(n) = n^2 + 4

Sequences & Patterns in Math 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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