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

In this video I give a proof by induction to show that 2^n is greater than n^2. Proofs with inequalities and induction take a lot of effort to learn and are very confusing for people who are new to induction. I really hope this video helps someone!

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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

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

Mathematical Induction Practice Problems
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Mathematical Induction Practice Problems

Induction: Inequality Proofs
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Induction: Inequality Proofs

Proving n factorial is bigger than 2^n by mathematical induction
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Proving n factorial is bigger than 2^n by mathematical induction

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]

Two examples that will teach you induction proofs with inequalities (it's not that complicated)
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Two examples that will teach you induction proofs with inequalities (it's not that complicated)

Proof by Strong Induction (full lecture)
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Proof by Strong Induction (full lecture)

Induction Inequality Proof Example 5: 2^n ≥ n²
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Induction Inequality Proof Example 5: 2^n ≥ n²

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]

Mathematical induction with inequality
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Mathematical induction with inequality

Induction Inequality Proof Example 3: 5^n + 9 less than 6^n
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Induction Inequality Proof Example 3: 5^n + 9 less than 6^n

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

Proof by induction | Sequences, series and induction | Precalculus | Khan Academy
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Proof by induction | Sequences, series and induction | Precalculus | Khan Academy

Believe in Cauchy–Schwarz Inequality, NOT calculus 3
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Believe in Cauchy–Schwarz Inequality, NOT calculus 3

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

The most beautiful formula not enough people understand
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The most beautiful formula not enough people understand

Let's Watch 25 Minutes of People Being Financially ILLITERATE
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Let's Watch 25 Minutes of People Being Financially ILLITERATE

What does mathematical induction really look like?
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What does mathematical induction really look like?

Mathematical Induction Examples
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Mathematical Induction Examples