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Quiz: Definition of Proof by Induction

OCR H245 A-Level Further Mathematics A

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Steps in this lesson (9)

1
Text

Welcome to this quiz on the definition of proof by induction! Test your understanding and apply your knowledge with these questions.

2
Multiple ChoiceInteractive

What is the first step in a proof by induction?

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3
Fill in the BlankInteractive

In proof by induction, the {{blank0}} step involves showing that if the statement is true for n = k, it must also be true for n = {{blank1}}.

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4
MatchingInteractive

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

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5
Multi-SelectInteractive

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

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6
Multiple ChoiceInteractive

If the base case for n = 1 is proven and the inductive step is valid, what can you conclude?

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7
Fill in the BlankInteractive

To prove an inequality by induction, the {{blank0}} is used to show that the inequality is preserved from n = k to n = {{blank1}}.

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8
Multiple ChoiceInteractive

Why is the base case critical in proof by induction?

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9
typedAnswer

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

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