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Chapter 1: Mathematical induction Notes
Proof by mathematical induction for series in sigma notation and for divisibility, including forming a conjecture and proving it.
Sections
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1A Induction with series Mastered
The principle of mathematical induction, the steps and setting out of an induction proof, proving formulas for series written in sigma notation, and forming a conjecture to prove.
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1B Induction with divisibility Mastered
Proving divisibility results by mathematical induction, introducing an integer multiple for the assumption, finding a divisibility conjecture, and induction that starts at a value other than 1 or steps through odd or even integers.