Calculating Pi in TI Basic Using the Leibniz Formula
Got nothing to do during math class? Then let your calculator calculate Pi! The Leibniz formula states that:
Pi/4 = 1/1 - 1/3 + 1/5 - 1/7 + 1/9 …
This is how to do it on your TI calculator, nicely formated.
: 0 -> N : 0 -> P : ClrHome : Output( 1, 1, "STEP " ) : Output( 2, 3, "PI= " ) : While 1 : 1 / ( (-1)^N(2N+1) ) + P -> P : Output( 1, 6, N ) : Output( 2, 6, 4P ) : N + 1 -> N : End
Note that this is a very poor way of calculating Pi, especially with a calculator, since it requires an extremely large amount of steps in order to obtain accurate values. 10,000,000,000 operations are required in order to get only ten correct decimals.
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I couldn’t understand some parts of this article, but it sounds interesting…
Trackback by Programming Tutorials — October 25, 2007 @ 8:09 pm
Thanks for this! It’s one of many examples which helped me understand and learn TI-BASIC. It’s very interesting to see my calculator calculating pi in real-time. Very cool.
Comment by Daniel B. — December 5, 2007 @ 6:28 am
There’s a faster way to do the summation:
Dips 4*sum(seq((-1)^X/(2X-1), X, 0, i))
Where ‘i’ is the number of iterations.
…I find this sometimes yields negative pi…if that’s the case, simple make it ‘Disp -4*sum…’
Comment by cy3 — May 5, 2008 @ 9:13 pm