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04-29-2010, 08:53 PM
Good point with the ... I could not find a way to do a repeating decimal.
Also If you think about it 1 minus .99999.... people may try and say .000000.. with a 1 somewhere on the end but the act of placeing the 1 ends it and then it is not repeating forever.
but if you look at t as an additive like .9.../10^1 +.9.../10^2 + .9..?10^3.... then you see a pattern of .9.../10^k where the pattern begins at k=1 and continues indefinitely then you can represent it as .9.../10^2/.9.../10^1 which equals 1/10 and if you plug that r value into the formula .9.../1-r you get .9.../.9... or 1.
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