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Mathematical Sequences & Series Overview 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.

Write the arithmetic series with summation notation:

4 + 8 + 12 + 16 + 20.

Question 2 2. Find the sum of the arithmetic series.

Question 3 3. Evaluate.

Question 4 4. Sigma notation looks like what?

Question 5 5. Which of the following is an arithmetic sequence?

Page 2

Question 6 6. Which sequence has a common difference of 5?

Question 7 7.

What is the common difference of this arithmetic sequence?

1, 4, 7, 10, . . .

Question 8 8.

What is the common difference of this arithmetic sequence?

4, 8, 12, 16, . . .

Question 9 9.

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

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

Question 10 10.

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

{1, 8, 64, . . .}

Page 3

Question 11 11. Which is the infinite sequence where each number is the previous number times 3?

Question 12 12. Which is the finite sequence of counting backwards from 3?

Question 13 13. Find the sum of the first four terms of the geometric sequence that begins with 1 with a common ratio of 3.

Question 14 14.

What is the common ratio for this geometric sequence?

4, 12, 36, . . .

Question 15 15. Which sequence begins with 1, 4, 9, . . .?

Page 4

Question 16 16. Which one is the tetrahedral sequence?

Question 17 17. What is the sum of the infinite geometric series where the beginning term is 2 and the common ratio is 1/2?

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

Question 19 19. Express this series using sigma notation: 3 + 5 + 9 + 17 + 33.

Question 20 20. Evaluate the following sum:

Page 5

Question 21 21. Find the sum of the following geometric series:

Question 22 22. Find the sum of the following geometric series:

Question 23 23.

What is the fifth term in this sequence?

7, 14, 28

Question 24 24. Which of the following is a geometric sequence?

Question 25 25. Find the sum of the arithmetic series.

Page 6

Question 26 26. Which of the following is NOT a sequence?

Question 27 27.

What is the 30th number in this sequence?

{2, 5, 8, . . .}

Question 28 28. Which of the following is an arithmetic sequence?

Question 29 29.

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

{1, 5, 9, . . .}

Question 30 30. Which one of these sequences is a finite sequence?

Mathematical Sequences & Series Overview 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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