Countable Sets

  • Thread starter Dustinsfl
  • Start date
  • #1
699
5
F is all integers that are multiplies of 5

[tex]f(n) =
\begin{cases}
0, & \mbox{if }n\mbox{ 1} \\
\frac{5n}{2}, & \mbox{if }n\mbox{ is even}\\
? , & \mbox{if }n\mbox{ is odd}
\end{cases}
[/tex]

N exists in the natural number
I don't know how to obtain the function that will represent the odd integers.
 
Last edited:

Answers and Replies

  • #2
Gib Z
Homework Helper
3,346
5
Are you trying to get a function that produces all the integer multiples of 5?

Whats wrong with f(n) = 5n ?
 
  • #3
699
5
Are you trying to get a function that produces all the integer multiples of 5?

Whats wrong with f(n) = 5n ?
I forgot to mention n exists in the natural numbers.
 
  • #4
Gib Z
Homework Helper
3,346
5
Ok then, the n is even part of your function will give all the positive multiples, now try something similar for n odd. I don't know how to give you a decent hint without giving it away, but basically, the odd case is very similar to the even case, except with a negative sign, and a little change to the n term to make sure it's divisible by 2.
 

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