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Show that any positive even integer can be written in the form 6q, 6q + 2 or 6q + 4, where 4 is an integer. |
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Answer» Let a be any positive integer By division algorithm a = 6q + r, where 0 ≤ r < 6 a = 6q, 6q + 1, 6q + 2, 6q + 3, 6q + 4, 6q + 5 But a is an even integer a = 6q, 6q + 2, 6q + 4 |
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