00b - Mathematical Induction Inequality

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Күн бұрын

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...
5. Differential Equations / Math 251
• DIFFERENTIAL EQUATIONS
6. Electric Circuit Theory / Circuit Design
• ELECTRIC CIRCUIT THEOR...
Make sure to watch till the end.
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Thank you.

Пікірлер: 48

@theasherministry 5 ай бұрын

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

@SkanCityAcademy_SirJohn 5 ай бұрын

Thanks so so much.

@beatalo1201 7 ай бұрын

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

@SkanCityAcademy_SirJohn 7 ай бұрын

Thanks so so much.

@Abi55995 5 ай бұрын

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

@SkanCityAcademy_SirJohn 5 ай бұрын

Amen and most welcome

@user-dl3zw8hu2c 2 ай бұрын

Thank you so much for making this video

@SkanCityAcademy_SirJohn 2 ай бұрын

You are most welcome Thanks for watching and good luck in your studies.

@mathsghtv1277 3 күн бұрын

Keep it up Sir

@SkanCityAcademy_SirJohn 3 күн бұрын

Thanks so much

@creat7 Жыл бұрын

thank you very much and I now understand

@SkanCityAcademy_SirJohn Жыл бұрын

You are most welcome

@sumeyaadem9182 Жыл бұрын

Thank you 😊

@SkanCityAcademy_SirJohn Жыл бұрын

You are most welcome. thanks for watching

@yesufetube7989 Жыл бұрын

sumeya

@georgehinneh6277 Жыл бұрын

God bless you. This is helping

@SkanCityAcademy_SirJohn Жыл бұрын

Amen, thanks so much George.

@MOHAMMEDABDULBASITYAW 5 ай бұрын

Wow great 👍

@SkanCityAcademy_SirJohn 5 ай бұрын

Thank you very much

@eyayaalemye Жыл бұрын

Thanks a lot

@SkanCityAcademy_SirJohn Жыл бұрын

You are most welcome. Thanks for watching

@Biruk-rg8nl 3 ай бұрын

It clearly explained.

@SkanCityAcademy_SirJohn 3 ай бұрын

Aww thanks so much

@tutorchristabel Жыл бұрын

wonderful video

@SkanCityAcademy_SirJohn Жыл бұрын

Thanks so much

@TENDANI_1 Ай бұрын

It's 2024 and am an additional subscriber 😅🎉

@SkanCityAcademy_SirJohn Ай бұрын

Great. Thanks for watching

@AmirJacob_94 Ай бұрын

After spending a whole day looking at videos on KZfaq, it finally makes sense because of your explanation! Thank you :)

@SkanCityAcademy_SirJohn Ай бұрын

You are most welcome

@mholimthimkhulu9327 4 ай бұрын

Wooooooooooooooooooooooooooooow🎉

@SkanCityAcademy_SirJohn 4 ай бұрын

Thanks so so much

@kirolsnagib1687 9 ай бұрын

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)?

@SkanCityAcademy_SirJohn 9 ай бұрын

No please it's supposed to be k+1

@MOHAMMEDABDULBASITYAW 5 ай бұрын

Thanks

@SkanCityAcademy_SirJohn 5 ай бұрын

You are most welcome. Thanks for watching.

@Dana-wl2sk Жыл бұрын

WOOOOOW

@SkanCityAcademy_SirJohn Жыл бұрын

Thank you very much Dana

@aziznosirov2528 Жыл бұрын

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

@SkanCityAcademy_SirJohn Жыл бұрын

okay, well noted

@SannohAlhaji 28 күн бұрын

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

@SkanCityAcademy_SirJohn 28 күн бұрын

Okay thanks for your comments. Kindly choose the best quality to view clearly

@saleempervaiz8766 9 ай бұрын

Last steps confused me too much ☹☹

@SkanCityAcademy_SirJohn 9 ай бұрын

Really?

@SkanCityAcademy_SirJohn 9 ай бұрын

Really?

@saleempervaiz8766 9 ай бұрын

Yes

@SkanCityAcademy_SirJohn 9 ай бұрын

@saleempervaiz8766 sorry about that, but can you please go through once more

@jazuvaratom5252 Жыл бұрын

I'm soooo confused 🤯🤯😱🤯

@SkanCityAcademy_SirJohn Жыл бұрын

Please where are you confused ?