1.6180338987482............

The Greek Letter Phi

Mathematics Exercise
To arrive at the numerical value of Phi,
start off with any two numbers, add them then divide the new sum by the previous digit.  As you continue to add new numbers in the sequence, you will approach the value of phi.

Formula sequence       Example          Number sequence
A + B                                          2 + 5                                2, 5
A + B = C                                   2 + 5 = 7                        2, 5, 7
C ÷ B = phi                                 7 ÷ 5 = 1.4
C + B = D                                   7 + 5 = 12                     2, 5, 7, 12
D ÷ C = phi                                12 ÷ 7 = 1.714
D + C = E                                  12 + 7 = 19                   2, 5, 7, 12, 19
E ÷ D = phi                                19 ÷ 12 = 1.583
E + D = F                                   12 + 19 = 31               2, 5, 7, 12, 19, 31
F ÷ E = phi                                 31 ÷ 19 = 1.632
F + E = G                                   31 + 19 = 50            2, 5, 7, 12, 19, 31, 50
G ÷ F = phi                                 50 ÷ 31 = 1.613
G + F = H                                   50 + 31 = 81        2, 5, 7, 12, 19, 31, 50, 81
H ÷ F = phi                                 81 ÷ 50 = 1.620
H + F = I                                     81 + 50 = 131     2,5,7, 12,19,31, 50,81,131
I ÷ H = phi                                  131 ÷ 81 = 1.6173
                                  then...        212 ÷ 131 = 1.6183...
                                                    343 ÷ 212 = 1.6179...
                                                    555 ÷ 343 = 1.6180...
                                                    898 ÷ 555 = 1.6180...

You can continue adding the numbers but phi will become a transcending figure without resolution similar to the number "Pi".

No matter what two numbers you start out with,
THE RESULT WILL STILL BE...

"Phi" "Phi"

1.6180339887482...!!!


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