Applications of mathematical induction (HSC SSCE Mathematics Extension 2): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What is mathematical induction used for?
What is mathematical induction used for?
Proving statements about positive numbers
What is the base case in induction?
What is the base case in induction?
The first case to verify
What does the inductive hypothesis assume?
What does the inductive hypothesis assume?
Truth for a specific case
What is a common pitfall in induction?
What is a common pitfall in induction?
Incorrectly verifying the base case
What is the formula for the sum of first n integers?
What is the formula for the sum of first n integers?
n(n+1)/2
What type of problems can induction solve?
What type of problems can induction solve?
Divisibility and inequalities
What is crucial for a successful induction?
What is crucial for a successful induction?
Clear base case and inductive step
What does the inductive step demonstrate?
What does the inductive step demonstrate?
Truth for n = k + 1
What is a combinatorial problem example?
What is a combinatorial problem example?
Counting handshakes at a meeting
What is the role of the inductive hypothesis?
What is the role of the inductive hypothesis?
To assume truth for n = k