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Series & Sequences Application 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. 8!/6!

Question 2 2. 0!/3!

Question 3 3. How do you write seven factorial?

Question 4 4. Assume you are at an ice cream shop and you order a bowl of ice cream with 3 scoops. There are 8 flavors to choose from. How many different bowls of ice cream can you have?

Question 5 5. If we are asked how many 5 digit lock codes we can make, are we dealing with permutations or combinations?

Page 2

Question 6 6. If we are asked to find how many ways there are to make a 5-digit lock code, is repetition allowed?

Question 7 7. What is the rule in this formula?

Question 8 8. Which of the sequences below has the recursive rule where each number is the previous number times 2?

Question 9 9. What is the recursive rule here?

Question 10 10. In the following problem, what is our beginning index number?

Page 3

Question 11 11. Evaluate:

Question 12 12. What does the summation or sigma notation tell us to do?

Question 13 13. Which one of the following is NOT a sum of cubes of the first n natural numbers?

Question 14 14. If you find the sum of the cubes of the first n natural numbers, which n gives you a sum of 4356?

Question 15 15. What is the sum of the cubes of the first 25 natural numbers?

Page 4

Question 16 16.

What is the 20th term of this sequence?

2, 6, 18, . . .

Question 17 17. For which sequence below can we use the formula for the general term of a geometric sequence?

Question 18 18.

What is the 10th term of this sequence?

7, 14, 28, . . .

Question 19 19. Which of these is sum of squares used to calculate?

Question 20 20. An experiment is performed and the sum of squares is calculated. Which of the following sum of squares values would indicate the largest amount of variability in the data?

Page 5

Question 21 21.

Calculate the sum of squares for the following data set:

20

23

28

32

30

24

20

23

Question 22 22. Which of the following statements is NOT true?

Question 23 23. Which of the following statements is true?

Question 24 24. Which of the following is exponential growth?

Question 25 25. 0!

Page 6

Question 26 26. Suppose you are making some soup. You have 7 types vegetables in front of you (one serving of each) and you want to include 4 of them in your soup (each being different). How many ways are there to do this?

Question 27 27. Which of the following sequences follows this formula?

Question 28 28. Which one is the ending number at which we evaluate the function?

Question 29 29. Which statement is NOT true about the formula for finding the sum of the cubes of the first n natural numbers?

Question 30 30.

What is the common ratio of this sequence?

9, 36, 144, . . .

Series & Sequences Application 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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