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Quiz: Steps in Proof by Induction

OCR H245 A-Level Further Mathematics A

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Steps in this lesson (10)

1
Text

Welcome to this quiz on Steps in Proof by Induction! Test your understanding of this powerful mathematical proof technique with these 10 questions.

2
Multiple ChoiceInteractive

What is the first step in a proof by induction?

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3
Multi-SelectInteractive

Which of the following are parts of a proof by induction? (Select all that apply)

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4
Fill in the BlankInteractive

In the inductive step, you assume the statement is true for {{blank0}} and then prove it for {{blank1}}.

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5
MatchingInteractive

Match the items on the left with their correct pairs on the right

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6
typedAnswer

Match the items on the left with their correct pairs on the right

7
Fill in the BlankInteractive

To complete a proof by induction, you show the statement is true for all {{blank0}} values starting from the {{blank1}} case.

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8
Multi-SelectInteractive

Which of the following are valid base cases for a proof by induction? (Select all that apply)

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9
Multiple ChoiceInteractive

What does the inductive hypothesis assume in a proof by induction?

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10
typedAnswer

Match the items on the left with their correct pairs on the right

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