Question

Use Euclids division
Lemma to show
that any positive
integers
in the
form
of 9m+1,
9m +3, 9m+5​

Answer 1

Answer:-

According to Euclids division Lemma, if A and B are positive integers and Q and R exist for unique integer which satisfies the condition,

a = bq + r where 0 <_ r <_ b

Suppose that 9m+1 = 1, 10, 19, 28...

So, the value of m = 0, 1,2,3...

If 9m+3 = 3, 12, 21, 30...

So, the value of m = 0, 1, 2, 3...

If 9m+5 = 5, 14, 23, 32...

So, the value of m = 0, 1, 2, 3...

Hope this answer will be helpful.