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Mathematics 12 Online
OpenStudy (goformit100):

n^2– 1 is divisible by 8, if n is (A) an integer (B) a natural number (C) an odd integer (D) an even integer

OpenStudy (goformit100):

@dan815

OpenStudy (dan815):

odd

OpenStudy (goformit100):

How ?

OpenStudy (dan815):

even number ^2 -1 will give you an even number -1 = odd number therefore 8 cannot divide it

OpenStudy (goformit100):

ok

OpenStudy (goformit100):

ok

OpenStudy (dan815):

odd number^2 - 1 = always odd - 1 = some even number that is div by 8 you must prove this statement

OpenStudy (goformit100):

ok..

OpenStudy (goformit100):

Thank you

OpenStudy (dan815):

we can use indution to prove

OpenStudy (dan815):

induction *

OpenStudy (goformit100):

OK

OpenStudy (dan815):

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