Introduces strong induction where inductive hypothesis assumes truth for all previous cases, not just immediate predecessor. Uses chocolate bar breaking puzzle and prime factorization to illustrate divide-and-conquer reasoning. Compares to standard induction with ladder metaphor.
Provides extensive practice problems for mathematical induction including summation formulas, divisibility proofs, Fibonacci identities, inequality proofs, geometric formulas, and flawed proof analysis. Covers polygon angles, combinatorics, logarithms, derivatives, and chaining implications.
Explains mathematical induction proof technique for sequences and statements indexed by natural numbers. Covers base case, inductive hypothesis, inductive step structure, and why induction works. Includes examples proving summation formulas and inequality statements with warnings about common errors.