Mathematical Induction Practice Problems

[@TheOrganicChemistryTutor]

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thank you so much for making this video! may I suggest you to make a video about proving inequality using mathematical induction?

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5:11 how do you distribute it . I don't know what he just did to make it like that

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MR. Organic Chemistry Tutor, thank you for a fantastic introduction to Mathematical Induction. Mathematical Induction is useful in Number Theory, Discrete Mathematics, Advanced Calculus and all graduate classes in math, science and engineering.

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hi, on 13:06. when u * 4 to both sides. why does (4k+1) ^3 been remove?

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Everyone's ignoring that huh

[@CG119Animator]

Because we were doing a factorization, it’s correct as written. Now, if you're still confused, perhaps you just overlooked the (k+1) term inside the right bracket after the factorization. After factoring out (k+1)^2 , the second term (k+1)^3 leaves behind just (k+1) inside the right bracket.

[@snek3675]

Because (k+1)² was factored from (k+1)³ which results in (k+1). Your misunderstanding stems from the fact you conjoined 4 with k when it should be 4(k+1)³. Hope this helps for you and for future students here :))

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[@gghighlightz]

At 11:56, why is the cube from 4(k+1)^3 removed?

[@ami3803]

because we factored by K+1

[@CG119Animator]

Because we were doing a factorization, it’s correct as written. Now, if you're still confused, perhaps you just overlooked the (k+1) term inside the right bracket after the factorization. After factoring out (k+1)^2 , the second term (k+1)^3 leaves behind just (k+1) inside the right bracket.

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