The difference between the squares of two consecutive odd integers is always divisible by :
A 3
B 6
C 7
D 8
E 9
A 3
B 6
C 7
D 8
E 9
The word "ALWAYS" tells us that we can just test any two consecutive odd integers.vaibhav101 wrote:The difference between the squares of two consecutive odd integers is always divisible by :
A 3
B 6
C 7
D 8
E 9
How about 3 and 1
3² - 1² = 9 - 1 = 8
Check the answer choices...only answer choice D works.
Answer: D
Not convinced? Try another pair of consecutive odd integers
How about 5 and 3
5² - 3² = 25 - 9 = 16
Check the answer choices...only answer choice D works.
Or, how about 9 and 7
9² - 7² = 81 - 49 = 32
Check the answer choices...only answer choice D works.
Cheers,
Brent
