Every number is either even or odd
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Therefore, by the inductive hypothesis, n − 1 is either even or odd. If n−1 is even then we observe that n = (n−1) + 1, so n is the sum of an even number and an odd number, hence is odd; if n − 1 is odd then n = (n − 1) + 1 is the sum of two odd numbers, hence is even.
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1,3,5,7,9,11 are odd number
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2,4,6,8,10 are even number
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