- #1
DDarthVader
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Homework Statement
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 :(
Homework Equations
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?