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Find all positive integers, when divided by 3 leaves remainder 2

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By Euclid’s division lemma 

a = bq + r, 0 ≤ r ≤ b 

a = 3q + r where 0 < q < 3 

a leaves remainder 2 when divided by 3 

∴ The positive integers are 2, 5, 8, 11,…

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