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

2. Linear Algebra / Math 151

3. Basic Mechanics

4. Calculus with Analysis / Calculus 1 / Math 152

5. Differential Equations / Math 251

6. Electric Circuit Theory / Circuit Design

Make sure to watch till the end.
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Thank you.

[theasherministry]

Some YouTubers should be payed more than some University lecturers...well done boss🎉

[Lethabo_maredi]

you're a genius man. breaking it down like that is what most can't do

[beatalo]

Thank you so much.. You are the one who explains the topic very well. God bless.

[Abi]

GOD bless you, Teacher.well explained and easy to understand.

[AmirJacob_]

After spending a whole day looking at videos on YouTube, it finally makes sense because of your explanation!

Thank you :)

[namedjas-]

i thought my all perfect quizzes will get destroyed since im not confident on this topic. But one watch of your vid helped me a lot❤❤

[creat]

thank you very much and I now understand

[LawrenceNdelemani-kz]

Thank you so much for making this video

[TENDANI_]

It's 2024 and am an additional subscriber 😅🎉

[aziznosirov]

thanks, finally understand. can you do one for n < 2^n for positive integers?

[kirolsnagib]

In the first example the step number 3 why we wrote it n=(k+1), and we know that n>or equal 3 is IT must be n=(k+2)?

[SannohAlhaji]

The expression are perfect but the words on the screen can't let us see clearly