The sequence is made in
the same way as for Fibonacci numbers. You get each
number by adding together the two previous numbers -
1 + 3 = 4
3 + 4 = 7
4 + 7 = 11
- and so on.
If you take pairs of Lucas
numbers and divide the higher by the lower you get almost the same number each
time -
18/11 = 1.6363..
29/18 = 1.6111..
47/29 = 1.6206..
76/47 = 1.6170..
123/76 = 1.6184..
- the answer gets closer and closer to a number called the Golden Ratio which
equals 1.6180339887. This is also true for Fibonacci numbers.
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