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Sequences and Series in AP Calculus: Homework Help Resource 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. If a2 = 5 and a8 = 35, what is the value of a30?

Question 2 2.

Which of the following would be the 14th term of the sequence below?

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

Question 3 3. Which group of numbers does not appear to be a sequence with a set pattern?

Question 4 4. Find the sum of the following geometric series:

Question 5 5. What is the 83rd term of the sequence 91, 87, 83, 79, ... ( = a1, a2, a3, a4, ...)?

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Question 6 6. What is the rule for the nth term of the geometric sequence if the third term is 96 and the fifth term is 1,536?

Question 7 7. Evaluate the following sum:

Question 8 8. 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 9 9. 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 10 10. Which rule represents the nth term in the sequence 9, 16, 23, 30...?

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Question 11 11. Which sequence below is a geometric sequence?

Question 12 12. What is the sum of all the even integers between 2 and 250?

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

Question 14 14. Choose the equation below that represents the rule for the nth term of the following geometric sequence: 128, 64, 32, 16, 8, ...

Question 15 15. What is the sum of the arithmetic series 106 +100 + 94 + ... + 28 + 22?

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Question 16 16. What is the rule for the nth term of the sequence with a7 = 53 and a13 = 101?

Question 17 17. Which of the following sequences is NOT geometric?

Question 18 18. What is the most specific term that describes the numbers 5, 10, 15, 20, 25, ...?

Question 19 19. 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.

Question 20 20. Which equation below represents a geometric sequence?

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Question 21 21. If 55 and 89 are two sequential terms of the Fibonacci sequence, what term would come next?

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

Question 23 23. 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?

Sequences and Series in AP Calculus: Homework Help Resource 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!

AP Calculus AB & BC: Homework Help Resource  /  Math Courses
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