![Teacher asked us to prove that n^3-n is divisible by 6. I tried proving it with modular arithmetic mod 6. She said this proof was wrong. But what is wrong with this Teacher asked us to prove that n^3-n is divisible by 6. I tried proving it with modular arithmetic mod 6. She said this proof was wrong. But what is wrong with this](https://preview.redd.it/teacher-asked-us-to-prove-that-n-3-n-is-divisible-by-6-i-v0-s9d0ys3w3qs81.jpg?auto=webp&s=19b8cec0955d45407d75413f19e53704795cfcbc)
Teacher asked us to prove that n^3-n is divisible by 6. I tried proving it with modular arithmetic mod 6. She said this proof was wrong. But what is wrong with this
![Powers of 2 in base 3: the multiplication automaton of Example 1. It is... | Download Scientific Diagram Powers of 2 in base 3: the multiplication automaton of Example 1. It is... | Download Scientific Diagram](https://www.researchgate.net/publication/245025579/figure/fig1/AS:393256362889223@1470771031405/Powers-of-2-in-base-3-the-multiplication-automaton-of-Example-1-It-is-conjectured-that.png)
Powers of 2 in base 3: the multiplication automaton of Example 1. It is... | Download Scientific Diagram
![2 7power n+3 5 power n -5 is divisible by 24 - Maths - Principle of Mathematical Induction - 1196256 | Meritnation.com 2 7power n+3 5 power n -5 is divisible by 24 - Maths - Principle of Mathematical Induction - 1196256 | Meritnation.com](https://s3mn.mnimgs.com/img/shared/userimages/mn_images/image/a1(1420).png)
2 7power n+3 5 power n -5 is divisible by 24 - Maths - Principle of Mathematical Induction - 1196256 | Meritnation.com
![If (2^(2n)-1) is divisible by 3, then show that, [2^(2(n+1))-1] is also divisible by 3. | 11 | ... - YouTube If (2^(2n)-1) is divisible by 3, then show that, [2^(2(n+1))-1] is also divisible by 3. | 11 | ... - YouTube](https://i.ytimg.com/vi/onL8k20k_V8/maxresdefault.jpg)
If (2^(2n)-1) is divisible by 3, then show that, [2^(2(n+1))-1] is also divisible by 3. | 11 | ... - YouTube
Prove that 7^2n + (2^3n - 3)(3^n - 1) is divisible by 25 for any natural number n. - Sarthaks eConnect | Largest Online Education Community
![By mathematical induction prove that, (2^(2n)-1) is divisible by 3 where nge1 is an integer. | ... - YouTube By mathematical induction prove that, (2^(2n)-1) is divisible by 3 where nge1 is an integer. | ... - YouTube](https://i.ytimg.com/vi/eVAvkLvHLNQ/maxresdefault.jpg)