Question

Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer​

Answer 1

Answer:

not understood the question

Answer 2

Answer:

$\displaystyle\huge\red{\underline{\underline{AnSWEr}}}$

Let 'a' be any positive integer and b=6

Apply Euclid division lemma to A and B

$a = 6q + r \: \: \: \: where \: 0 \leqslant r < 6$

r=0,1,2,3,4,5

a=6q,6q+1,6q+2,6q+3,6q+4,6q+5

and. a is positive odd integer

a≠6q. or a≠ 6q+2 or a≠6q+4

And. a=6q+1 ,a=6q+3 , a=6q+5

Hence proved