Calculate pi!
No, just kidding. Here's the real one:
Find the nth term of the sequence 1, 2, 4, 7, 11, ...
(if you wanna calculate pi...well, have fun)
Printable View
Calculate pi!
No, just kidding. Here's the real one:
Find the nth term of the sequence 1, 2, 4, 7, 11, ...
(if you wanna calculate pi...well, have fun)
f(n) = .5n(n-1) + 1
Got it through a quadratic regression, not logic ;)
Slightly off topic, but hasn't one state of America decided that pi should be known as 3 exactly? Probably just a rumour but it wouldn't surprise me.
Tn = n(n - 1)/2 + 1
Same as jemidiah.
Actually, that was just a joke that probably got misconstrued somewhere. Some people (ie, me :)) memorize Pi to a number of digits (I'm up to 3.14159265358979323642 from memory; every time I see a new one, I tack it on, although that's getting rarer and rarer ;)).
3.14159 is as far I as ever go. If I need more digits I open Mathematica, or ask someone else who knows :p.
3.1415926535897932384626433832795
I've been wrong with the last four digits?!!!!! AHHHHH!!!!!! Oh well :)
On a seperate note, the Windows XP PowerToy calculator can go up to 512 digits meaning I've got some work to do ;)
Mathematica just gave me 100,000 digits of Pi in less than a second. I love playing around with that program, it seems nothing is too hard for it. I once did Factorial[100000], I left the room and came back and my computer was running low on resources. (I also had 3D Studio MAX idling)
DiGiTaIErRoR: That's exactly the number of digits the windows caculator gives you :)
3.1415926535897932384626433832795028841971693993
if u just look at the differences in the series, you get 1, 2, 3, 4...
look familiar? Hence the triangular numbers, +1
you know what's crazy...those people that memorize pi to like past 100 digits... ugh
no offense to anyone out there, i just think it's crazy
Coincidence? I think not!Quote:
Originally posted by twanvl
DiGiTaIErRoR: That's exactly the number of digits the windows caculator gives you :)
3.1415926535897932384626433832795028841971693993
Well, not like it's really ever needed, but if you want to take it farther you could let this page run for a while.
Well, using the prgram I made on my TI83 last summer I get:
Un = .5n^2 -.5N+1
Which i suppose is the same as:
Un = .5n(n-1)+4
Oh, god I just realised this thread is slightly out of date, oh well.
You and me both, pal.
Look at the date on my last post here.
But it aint that out of date, only a few days really. I was just all happy to have something to post about in the math forums, I am more then out of my element here.