# Mathematical Induction (Part 2)

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Lesson Summary:

In this lesson, we learn how to use mathematical induction to prove inequalities for all natural numbers. The principle of mathematical induction has two steps: the basis step and the inductive step. By starting from an arbitrary natural number, we can reformulate the principle to solve cases where a property may not be valid for all natural numbers. Through an example, we see how to use the generalized principle of mathematical induction to prove that an inequality is valid for all natural numbers greater than 1.

Lesson Description:

Learn how to prove inequalities using mathematical induction.

Questions answered by this video:
• What is the generalized principle of mathematical induction?
• How can you prove inequalities using mathematical induction?
• How can you prove that 3^n > 3n + 1 for all n > 1?
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• Currently 3.0/5 Stars.
This video reviews the steps of mathematical induction and how and why it is used. This lesson goes further, explaining how mathematical induction can be used to prove inequalities, also. By watching this video, you should gain a better understanding of how to start proving using induction.