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2^n is greater than n^2. Strategy for Proving Inequalities. [Mathematical Induction]

In this video, I showed how to prove inequalities by mathematical induction.

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10(1+e^(-x))^(-1) =3  [Exponential Equation]
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10(1+e^(-x))^(-1) =3 [Exponential Equation]

Mathematical induction with inequality
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Mathematical induction with inequality

Prove that 7^n - 6n -1  is divisible by 36 for any natural number, n. [Mathematical Induction]
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Prove that 7^n - 6n -1 is divisible by 36 for any natural number, n. [Mathematical Induction]

Induction: Inequality Proofs
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Induction: Inequality Proofs

Sum of first n squares. [Mathematical Induction]
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Sum of first n squares. [Mathematical Induction]

Germany | Can You Solve This Math Olympiad Problem?
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Germany | Can You Solve This Math Olympiad Problem?

Prove that (n/2)^n is greater than n!
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Prove that (n/2)^n is greater than n!

Prove that 11^n - 4^n is divisible by 7 for any natural number, n. [Mathematical Induction]
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Prove that 11^n - 4^n is divisible by 7 for any natural number, n. [Mathematical Induction]

How Newton Calculated Pi in Just One Afternoon
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How Newton Calculated Pi in Just One Afternoon

00b - Mathematical Induction Inequality
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00b - Mathematical Induction Inequality

Unlock the Secrets of Inequality Proof with Mathematical Induction 🧐🔍
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Unlock the Secrets of Inequality Proof with Mathematical Induction 🧐🔍

00c - Mathematical Induction Problems - Divisibility
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00c - Mathematical Induction Problems - Divisibility

A fun proof for an integer
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A fun proof for an integer

Prove 3^n + 7^n -2 is divisible by 4
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Prove 3^n + 7^n -2 is divisible by 4

Induction Inequality Proof: 3^n is greater than or equal to 2n + 1
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Induction Inequality Proof: 3^n is greater than or equal to 2n + 1

Find All Prime Pairs (p. q) for Positive Integer n.
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Find All Prime Pairs (p. q) for Positive Integer n.

Einstein OBSERVED Ramanujan's Work And Saw Mathematics That Shouldn't Exist
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Einstein OBSERVED Ramanujan's Work And Saw Mathematics That Shouldn't Exist

Inequality Mathematical Induction Proof: 2^n greater than n^2
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Inequality Mathematical Induction Proof: 2^n greater than n^2

Mathematical Induction - Divisibility Tests (1) | ExamSolutions
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Mathematical Induction - Divisibility Tests (1) | ExamSolutions

Find all n greater than 1 such that (2^n + 1)/n^2 is an integer.
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Find all n greater than 1 such that (2^n + 1)/n^2 is an integer.

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