Note that even numbers are all divisible by 2. Examples are:
`2, 4 , 6 ,8 , 10, 12, 14, 16, 18, 20...`
Then, let's try to determine which of these even numbers would result to an odd quotient when divided by 2. Note that odd numbers are not divisible by 2.
`2-:2=1` `4-:2=2`
`6-:2=3` `8-:2=4`
`10-:2=5` `12-:2=6`
`14-:2=7` `16-:2=8`
`18-:2=9` `20-:2=10`
So, 2,6,10,14 and 18 are the even numbers that when divided by 2 result to odd numbers.
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Therefore,
`2 + 4n` (where n is an integer)
are the even numbers that when divided by 2 result to an odd quotient.