Question

Using Euclid's division lemma ,show that any positive integer is of the form 4q + 1 or 4q + 3 ,where q is some integer.

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Answer 1

Answer:

∴4q + 1 is an odd number. 4q + 2 i.e., 2(2q + 1) which is also an even number. ∴ (4q + 2) + 1 = 4q + 3 is an odd number. Thus, we can say that any odd integer can be written in the form 4q + 1 or 4q + 3 where q is some integer.

Answer 2

Step-by-step explanation:

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