One is, that the question to prove is whether the sequence that is formed in the way you describe, always contains number 1, no matter which is the first term.
And the second missing thing is to tell us what is represented by the graph.
I had an independent study on this problem in college. I ended up doing something similar by graphing all of the first iteration numbers, all of the second iteration numbers, and so on. I found, if i remember correctly, that every point fell on a perfect line with a patterned slope and y-intercept. I don't remember off the top of my head what the pattern was for either but it was pretty interesting in my opinion.
Two things are missing.
One is, that the question to prove is whether the sequence that is formed in the way you describe, always contains number 1, no matter which is the first term.
And the second missing thing is to tell us what is represented by the graph.
-.
Mauromoustakos 1 week ago
@Mauromoustakos I'll try to add what is missing and put it in the subtitles and description once I reset the password to my MathDemos account.
Werelion2367 1 week ago
I had an independent study on this problem in college. I ended up doing something similar by graphing all of the first iteration numbers, all of the second iteration numbers, and so on. I found, if i remember correctly, that every point fell on a perfect line with a patterned slope and y-intercept. I don't remember off the top of my head what the pattern was for either but it was pretty interesting in my opinion.
CHeCKEyE5 2 weeks ago
...Ah! The "Collatz Comet"...two paths of broken lines - reminiscent of "Goldbach's Comet" when graphing that Conjecture.
jwm239 1 month ago
i dont know what the problem is... :(
TheyCallMeConfucious 2 years ago
Should be 3n + 1 problem not 2n!
BibleForDummies 2 years ago
I'll change it right away thank you for pointing this out.
MathDemos 2 years ago
...im not sure what im watching...
maybe an explanation is needed... :/
MisterSir2 3 years ago