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Mathematical Muscle. I'll Be Your Personal Trainer
...For instance, how can we derive a formula for the sum of the first n odd positive integers. Notice that 1+3=4, 1+3+5=9, 1+3+5+7=16, and 1+3+5+7+9=25. We can see that each sum is a perfect square. We conjecture the formula 1+3+5+.....+2n-1=n^2. We prove this by induction...
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