Tuesday, July 27, 2010

The art of decimals

If you remember with my other post about the number. We can look at the formula like this:


  1. (1/4)1 + (1/4)2 + (1/4)3 + (1/4)4 + (1/4)5 + . . . . = (1/4)+(1/16)+(1/64)+(1/256)+… ≈ 1/3

  2. (1/3)1 + (1/3)2 + (1/3)3 + (1/3)4 + (1/3)5 + . . . . = (1/3)+(1/9)+(1/27)+(1/81)+… ≈ 1/2
  3. (1/2)1 + (1/2)2 + (1/2)3 + (1/2)4 + (1/2)5 + . . . . = (1/2)+(1/4)+(1/8)+(1/16)+… ≈ 1/1 ≈ 1

So, how about the Art of Math? So Beautiful?? enjoy your day

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