Prove that 17n^3 + 103n is Divisible by 6 using Mathematical Induction

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Prove that 17n^3 + 103n is Divisible by 6 using Mathematical Induction

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Great video. I can't imagine the headache I would have had if you hadn't told me that the product of two consecutive integers is even.
Great example of strong induction, too. I was fuzzy on the whole thing.

alanreeves
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9:04 This is a perfect example for what I'm struggling with when I'm doing my assignments. I never know when I have to prove such small things or when I can expect them to be taken for granted. The problem is that my professors sometimes prove such things and sometimes they just state them and use them, so I'm always worried that if I don't prove it, I will lose points. On the other hand, it would seem a bit much to have to prove literally everything. How would you do it?

wilhufftarkin
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This comment is related to determinants

Today, I thought I found something new by doing the homework of matrices that my teacher gave . Taking out there adjoints and inverses directly I sooner came to a 2 questions matrix with 0 in a triangular form one upper left other bottom left. Surprisingly both of the pos. of the matrices came same . So I did more questions regarding 0 in matrices
Then hour later I found that it's a theorem that already existed but not explained by my teacher . The ch is finished in my school.

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