06-29-2013, 04:36 AM
(This post was last modified: 06-29-2013, 04:48 AM by fl3tching101.)
(06-29-2013, 01:40 AM)Guy1234567890 Wrote: Just as a note, you only have to show that the proposition is true for one case (usually the case where n is the smallest) and then you can immediately show that it is true for the k+1th case.
Yea, I saw that on the wiki, but we were taught to show true for the three cases. Also we were taught to make a middle step that was just replacing n with k lol... I quite hate Mathematical Induction so
Lol when I posted this I really didn't expect such discussion
I know there are like a thousand different shortcuts and ways of finding a square, I was just posting a quick, fun(ish) way to find a square...not trying to rewrite a textbook here lol. The origin of this was actually that one day in math, we were doing some group work and one of my friends was in the group, and I just said one of the steps out loud, a square of like 17 (I talk to myself a lot through math problems, really just to help others around me or have someone smarter correct a problem 
) and he immediately spit out the answer. The like 10 people around him including me all just looked at him...turns out he had memorized the squares of the numbers through 25. So wishing I could do that lol, I randomly remembered that moment and was thinking about it, trying to figure out a shortcut to find squares quickly. These were the shortcuts I figured out in the car on the way home from a short trip lol.