Question

Show that any positive odd integer is of the form 6q + 1 or, 6q + 3 or, 6q + 5, where q is some integer. IS MY ANSWER CORRECT?


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Answer 1

Step-by-step explanation:

Yes it is absolutely correct...... and I'm also sure about it

Answer 2

Answer:

No.

Step-by-step explanation:

The correct answer is

$if \: r \: = 1$

Your's equation should become

$a = 6q + r \\ a = 6q + 1$

This will always be an

odd integer

$if \: r \: = 3$

Your's equation should become

$a = 6q \: + r \\ a = 6q \: + 3$

This will always be an

odd integer

$if \: r \: = 5$

Your's equation should become

$a \: = 6q \: + r \\ a = \: 6q \: + 5$

This will always be

an odd integer

Therefore, any odd integer is of the form 6q +1 ,

6q+3 or 6q + 5

Hence proved