Algebra and Series (AQA A-Level Further Maths): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What is the primary purpose of proof by induction?
What is the primary purpose of proof by induction?
Prove statements for all natural numbers
What are the three essential steps in proof by induction?
What are the three essential steps in proof by induction?
Base case, inductive step, conclusion
What is the 'inductive hypothesis'?
What is the 'inductive hypothesis'?
Assuming the statement is true for
What must you prove in the base case?
What must you prove in the base case?
The statement is true for
In the inductive step, what must you prove?
In the inductive step, what must you prove?
True for using
In divisibility proofs, how do you use the inductive hypothesis?
In divisibility proofs, how do you use the inductive hypothesis?
Write expression as multiple of divisor
What is a common mistake in induction proofs?
What is a common mistake in induction proofs?
Missing the base case
What must your conclusion explicitly reference?
What must your conclusion explicitly reference?
Mathematical induction
In summation proofs, how do you write ?
In summation proofs, how do you write ?
th term
What technique helps simplify algebra in summation proofs?
What technique helps simplify algebra in summation proofs?
Look for common factors first
