Question

show that any positive integer is of the form 4q or 4q +1 or 4q + 2 or 4q + 3 for some positive integer q
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Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

hey mate ❤️......here is your answer....

let a be the positive Integer

and b=4

then by Euclid's division lemma,

we can write, a=bq+r for some integer q and

o<r<4

then possible value of r I 0,1,2,3

taking r=0

a=4q

taking r=1

a= 4q+1

taking r=2

a=4q+2

taking r=3

a=4q+3

but a is an odd positive integer,so a connot be

4q or 4q+2[as these are even]

therefore,a can be of the form 4q+1 and 4q+3

for some integer q

hence,it is solved.

Step-by-step explanation:

hope this help u✌️.....mark as brainliest dear ❤️.....

Thanks for asking