Question

is (4q+q) and (4q+3) is a positive odd integers? explain with answer
please give me answer than I follow you​

Answer 1

Step-by-step explanation:

Let a be any positive odd integer. We apply the division algorithm with a and b = 4.

Since 0 ≤ r < 4, the possible remainders are 0,1,2 and 3.

i.e. a can be 4q, or 4q + 1, or 4q + 2, or 4q + 3, where q is the quotient.

As we know a is odd, a can’t be 4q or 4q + 2 because they both are divisible by 2.

Therefore, any positive odd integer is of the form 4q + 1 or 4q + 3.

Hope it helps!