show that any positive even integer is of the form 4q or 4q+2 where q is is any integer
Answers
Answered by
1
Answer:
Let a and b be any positive even integer. (a > b)
Then by Euclid's division lemma.
a = bq + r
Take b = 4 (0 ≤ r < b)
a = 4q + r
Where r = 0, 1, 2, 3
When r = 0
a = 4q + (0)
a = 4q = 2(2q) is an even number
When r = 2
a = 4q + (2)
Take 2 as common
a = 2(2q + 1) which is also an even number
So, we can say that any positive even integer is in the form 4q or 4q + 2 where q is any integer.
Please mark me as brainliest !!
Similar questions
Math,
1 month ago
Environmental Sciences,
1 month ago
Social Sciences,
2 months ago
Math,
10 months ago
Social Sciences,
10 months ago
Math,
10 months ago