More Lessons for Algebra II
Videos, worksheets, games and activities to help Algebra II students learn about mathematical induction.
What is Mathematical Induction?
Mathematical Induction is a method to prove that a given statement is true of all natural numbers.
The basis: Show the first statement is true.
The inductive step: Prove that if any one statement is true for k, then the next one, k + 1, is also true.
An important and fundamental tool used when doing proofs is mathematical induction. We can use mathematical induction to prove properties in math, or formulas. For example, we can prove that a formula works to compute the value of a series. Mathematical induction involves using a base case and an inductive step to prove that a property works for a general term.
How to prove using Mathematical Induction?
This video explains how to prove a mathematical statement using proof by induction. There are two examples.
Proof by Induction - Example 1
Proof by Induction - Example 2
Proof by Induction - Example 3
Mathematical Induction (Part 1)
Mathematical Induction (Part 2)
This tutorial describes the proof method of mathematical induction. It shows 3 examples on how to prove using mathematical induction and then what happens when one tries to prove something not true using mathematical induction.
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