Question

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

Answer 1

Answer:

Answer in above Picture

Hope it helps you.

Answer 2

$\fbox\blue{A}\fbox\red{N}\fbox\blue{S}\fbox\red{W}\fbox\blue{E}\fbox\red{R}$

We know that,

$\huge\mathcal\colorbox{cyan}{{\color{white}{a=bq+r}}}$

using Euclid's lemma, r = 0,1,2,3,4,5

✔️when r=0

a = 6q + 0

✔️when r = 1

a = 6q + 1

✔️when r = 2

a = 6q + 2

✔️when r = 3

a = 6q + 3

✔️when r = 4

a = 6q + 4

✔️when r = 5

a = 6q + 5

It is given in question that a is odd positive integer. which are a = 6q + 1, 6q + 3, 6q + 5.