1. The problem statement, all variables and given/known data Hello! This is I want to prove using Mathematical Induction: [itex]1+3+5+...+(2n-1)=n^2[/itex]. The problem is: I don`t understand very much about Mathematical Induction :( 2. Relevant equations 3. The attempt at a solution Suppose n=1. Then 1=1. Now suppose [itex]1+3+5+...+(2n)=(n+1)^2[/itex]. Then [itex]1+3+5+...+2n=(1+3+5+...+(2n-1))+2n=n^2+2n=n(n+2)[/itex]. Is this correct? If yes, how does this prove my hypothesis?