Chapter Overview
The Principle of Mathematical Induction is a proof technique used to establish that a statement is true for all natural numbers. This chapter introduces the method, its logic, and how to use it effectively to prove mathematical statements and formulas.
Important Keywords
- Mathematical Induction: A method of proof used in mathematics to prove that a statement holds for all natural numbers.
- Base Case: The initial step where the statement is verified for the first natural number (usually n = 1).
- Inductive Hypothesis: The assumption that the statement holds true for some natural number n = k.
- Inductive Step: The step where the statement is shown to be true for n = k + 1 based on the assumption that it's true for n = k.
Detailed Notes
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