Mathematical induction with inequality
In this video, I showed how to do a mathematical induction proof.

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Olympiad Algebra
![2^n is greater than n^2. Strategy for Proving Inequalities. [Mathematical Induction]](https://i.ytimg.com/vi/UE009vD3PEI/hqdefault.jpg?sqp=-oaymwEmCNACELwBSFryq4qpAxgIARUAAAAAGAElAADIQj0AgKJDeAG4Ahc=&rs=AOn4CLAHNbfyQaLD5h7Lo4IpmlFDg9K_YA&usqp=CBc)
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2^n is greater than n^2. Strategy for Proving Inequalities. [Mathematical Induction]

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Fun proofs

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Proof by Strong Induction (full lecture)
![Prove that 11^n - 4^n is divisible by 7 for any natural number, n. [Mathematical Induction]](https://i.ytimg.com/vi/pLbG3Vvpjjk/hqdefault.jpg?sqp=-oaymwEmCNACELwBSFryq4qpAxgIARUAAAAAGAElAADIQj0AgKJDeAG4Ahc=&rs=AOn4CLAL1mwhnoxIKm0ran0fqy050mj1gg&usqp=CBc)
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Prove that 11^n - 4^n is divisible by 7 for any natural number, n. [Mathematical Induction]

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Eigenvalues and Eigenvectors: 3 By 3 Matrix Problem solved

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Solving a septic equation

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Induction: Inequality Proofs

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USA Math Olympiad question with @PK Math

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Solving a Quartic Equation
![Prove that 7^n - 6n -1 is divisible by 36 for any natural number, n. [Mathematical Induction]](https://i.ytimg.com/vi/kNmUneld518/hqdefault.jpg?sqp=-oaymwEmCNACELwBSFryq4qpAxgIARUAAAAAGAElAADIQj0AgKJDeAG4Ahc=&rs=AOn4CLDpzKyMR4ppfA_ECvoKp8yvBnfdoQ&usqp=CBc)
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Prove that 7^n - 6n -1 is divisible by 36 for any natural number, n. [Mathematical Induction]

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What if boys were never the problem?

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Limit of x! over x^x as x goes to infinity

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The French Do Not Care About Work

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00b - Mathematical Induction Inequality

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if x+y=8, find the max of x^y (Lambert W function)

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

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Mathematical Induction Practice Problems

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x! = x^3 - x

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