find the formula to calculate the sum of first n positive odd numbers
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1^2 = 1 The n-th odd number is 2n+1. If the sum of the n first odd numbers is n^2, then the sum of the first (n+1) odd numbers is n^2+2n+1 = (n+1)^2. Therefore, the sum of the first 10 odd numbers is 10^2 = 100.
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