Mathematical Induction 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!

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Question 1 1. If we are using mathematical induction to prove that a mathematical expression A is divisible by a number b for all natural numbers n, then step 1 is to show it's true for n = 1. Step 2 is to assume that it's true for a natural number k. What is the third step in this process?

Question 2 2. Suppose we're proving that 2n + 4 is divisible by 2 for all natural numbers, n using mathematical induction. We've already proven our base step (that it is true for n = 1). What is the next step?

Question 3 3. If we were proving that 6n + 4 is divisible by 5 for all natural numbers, n, using mathematical induction, what would be the first step?

Question 4 4. What is mathematical induction?

Question 5 5. Which of the following statements is NOT true?

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Question 6 6. Suppose we wanted to use mathematical induction to prove that for each natural number n, 2 + 5 + 8 + … + (3n - 1) = n(3n - 1) / 2. In our induction step, what would we assume to be true and what would we show to be true.

Question 7 7. Which of these questions should you ask yourself to help determine if mathematical induction is a good method to prove a given statement?

Question 8 8. Suppose we wanted to use mathematical induction to prove that for each natural number n, 1 + 5 + 9 + … + (4n - 3) = n(2n - 1). What would we show in the base step for n = 1 and n = 2?

Question 9 9. Which of these is the first step in mathematical induction?

Question 10 10. Which of the following is the induction step in mathematical induction?

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Question 11 11. Perform the first step of mathematical induction for the mathematical statement n + 1 > n.

Question 12 12. How many steps are in mathematical induction?

Question 13 13. What is the first step of mathematical induction?

Question 14 14. What do you have to assume in mathematical induction?

Question 15 15. What do you need to do to prove the second step of mathematical induction?

Mathematical Induction 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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