1.

Show that any positive odd integer is of the form 8q+1, 8q+2 or 8q+7, where q is some integer

Answer»

Since 8q, 8q+2, 8q+4, and 8q+6 are divisible by 2, they are even NUMBERS. So any odd integer can be written as any ONE of the remaining forms which are (8q+1, 8q+3, 8q+5 or 8q+7.) where q is any integer and 0 <= R <= 7.

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