Mathematical induction is a proof technique used to establish the truth of statements involving positive integers. It consists of two essential steps: verifying the statement for a base case, and then proving that if the statement holds for an arbitrary integer , it must also hold for . In IB Mathematics, induction is commonly applied to results involving sequences, series, inequalities, and divisibility. Students are expected to present arguments with logical precision, clear structure, and correct mathematical notation. A strong understanding of induction also supports deeper reasoning across multiple areas of the syllabus.
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Video lessons
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Introduction to induction proofs
Induction proofs with series
Induction proofs with divisibility
Induction proofs with inequalities
Induction proofs with trigonometry
Induction proofs with binomial theorem
Induction proofs with derivatives
Wrapping up
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