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Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is

some integer.

Mathematics - Mathematics

Chapter _Real Numbers


Multiplying any integer by 6 gives an even number

When either 1,3 or 5 is added to an even number, it becomes an odd number
So, (6q+1), (6q+3) and (6q +5) are odd integers where q is any integer
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