Question

Show
that any positive integer is of the form of 4q+1or 4q+3 where q is some integer​

Answer 1

Answer:

b = 4

Possible values of r = 0,1,2,3

Then, Possible values of a will be :

a = 4q + 0 = 4q

a = 4q + 1

a = 4q + 2

a = 4q + 3

4q , 4q + 2 are divisible by 2. Therefore, are even positive integers.

4q + 1 and 4q + 3 are not divisible by 2. Hence, are odd positive integers.

Hence proved

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