00b - Mathematical Induction Inequality

00b - Mathematical Induction Inequality

In this video, we are going to solve mathematical induction problems regarding inequalities.
Mathematical Induction is on of the techniques which can be used to prove variety of mathematical statements formulated in terms of n, where n is a positive integer. There basically three steps to do that.
Step 1: base step. To prove that the statement is true for the first term, thus n = 1

Step 2: induction hypothesis. To prove that the statement is true for n = k, where k is a positive integer

Step 3: induction step. To prove that based on the hypothesis made in 2, the statement is true for the next term, thus n = k + 1
then, we can make a statement for
P(n) is true for all positive integers / natural numbers n is greater or equal to 1.

00:00 - Example 1
11:18 - Example 2


Playlists on various Course
1. Applied Electricity
   • APPLIED ELECTRICITY  

2. Linear Algebra / Math 151
   • LINEAR ALGEBRA  

3. Basic Mechanics
   • BASIC MECHANICS / STATICS  

4. Calculus with Analysis / Calculus 1 / Math 152
   • CALCULUS WITH ANALYSIS / CALCULUS 1 /...  

5. Differential Equations / Math 251
   • DIFFERENTIAL EQUATIONS  

6. Electric Circuit Theory / Circuit Design
   • ELECTRIC CIRCUIT THEORY / CIRCUIT DESIGN  

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