SOLUTION: Let f be the function which associates to an integer n the number 1 if n is even, and -1 if n is odd
Find the following: f(2), f(3), f(145), f(-5), f(0). Can you find a formula fo
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Question 1029982: Let f be the function which associates to an integer n the number 1 if n is even, and -1 if n is odd
Find the following: f(2), f(3), f(145), f(-5), f(0). Can you find a formula for f?
Thank you for all your time!
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
2 and 0 are even. The rest are odd.
\ =\ (-1)^n\ \forall\ n\ \in\ \mathbb{Z})
or
\ =\ -2(n\ \text{mod}\ 2)\ +\ 1\ \forall\ n\ \in\ \mathbb{Z})
where 
returns the remainder of the integer quotient of 
divided by 
.
John
My calculator said it, I believe it, that settles it
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