Question

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

Answer 1

All the positive integers when divided by 3 leaves remainder 2

By Euclid’s division lemma

a = bq + r, 0 ≤ r ≤ b

Here a = 3q + r where 0 < q < 3

a leaves remainder 2 when divided by 3

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