Introduction to Proof by Induction: Prove 1+3+5+…+(2n-1)=n^2

This video introduces proof by induction and proves 1+3+5+…+(2n-1) equals n^2.

[jacobwindsor]

How did you know I'm taking real analysis right now?

[envyoclith]

I don't understand the base case, and no one ever talks about it. It's not obivous at all to me how this works. If I let n = 1 and plug it into the equation, don't I get 1 + 3 + 5 + 7 + . . . + 1 = 1^2, which is obvisouly false?

[SuperEvilDoc]

1+3+5+...+(2n-1)≠n^2 w/ n=1 nor with n=0.