Question

show that every positive or odd integer is in the form of 4q+0q or 4q+3 where q is some integer








I need answer urgently......................​

Answer 1

Answer:

Every positive or odd integer always use to be in the form of 4q or 4q+3

bcoz' as according to Euclid's division lemma , a=bq+r where b>r>/=0

so, let b=4 so possible reminders could be 0,1,2 and 3

now, a=4q, 4q+1, 4q+2 and 4q+3

so here 2(2q+1)/2 =2q+1

and 2(2q)/2=2q therefore they both are even so they can't be of the form.....

that finally left us with

two of the arrangements for positive odd integers that is

4q+1 and 4q+3 so

every positive odd integer use to be in this form if

hope it helps!!!✌✌plzz follow me and mark me as brainlest and I would do the same yo you