BARS::Approaching Orange Grove Road on I-10 East in Tucson, Arizona

This road sign is on eastbound I-10 in Tucson, Arizona.

The road sign says...

   +----------------------------+
   | Orange Grove Rd        1/4 |
   | Sunset Rd            1 1/4 |
   | El Camino del Cerro        |
   | Ruthrauff Rd         2 1/4 |
   +----------------------------+
   the numbers are:  1/4  (1 1/4)  (2 1/4)

   the math is:  sqrt(2 1/4) - 1/4 = 1 1/4

   observe...
      2 1/4 = (2 * 4 + 1) / 4 = 9/4
      sqrt(2 1/4) = sqrt(9/4) = sqrt(9)/sqrt(4) = 3/2
      3/2 - 1/4 = 6/4 - 1/4 = 5/4 = 1 1/4

   increment-by-one math...
      1/4 + 1 = 1 1/4
      1 1/4 + 1 = 2 1/4

   [solve for 'n']  sqrt(2 1/4) - 1/n = 1 1/4

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 02 October 2007

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This work is licensed under a Creative Commons License.