Induction (Leaving Cert Mathematics): Quizzes

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Proof by Induction
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What is proof by induction used to prove?

Statements true for all natural numbers

What is the first step in proof by induction?

Verify statement true for initial nn

What is the inductive hypothesis?

Assuming P(k)P(k) is true for some kk

What is the third step in proof by induction?

Prove P(k+1)P(k+1) using the hypothesis

Proof by induction is particularly useful for proving propositions involving what?

Sequences, inequalities, or formulas

How many steps are there in proof by induction?

Three steps

In the inductive hypothesis, what condition applies to kk?

k≥n0k \ge n_0

What type of technique is proof by induction?

A mathematical technique

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