Hi, I'm needing some help with an exercise
Let A be {k^2|k belongs to N}. I need to if A holds the following proposition: "For every n that belongs to N, if n belongs to A then n+1 belongs to A."
My problem is on the way the set is defined, as far as I understand it, A should be {1,4,9,16,25,36...}.
I will appreciate any response as long as it doesn't reveal the solution to the problem... tnx in advance...
I'm sorry. I just saw what wrote before (lol).
What I meant:
"Let A be {k^2|k belongs to N}. I need to state if A holds or not the following proposition: "For every n that belongs to N, if n belongs to A then n+1 belongs to A."
By the way A should be {1,4,9,16,25,36...}? is that correct?
your A is correct (assuming you are working with and not ).
As written your problem seems very easy (the proposition is false and there is no shortage of counter examples), as plato said...are you sure you have written the question down properly
edit: didn't see platos post :P