# Lucas Numbers

The first ten Lucas numbers
are –

1, 3, 4,
7, 11, 18,
29, 47, 76, 123

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.

Based on the book *Numbers: Facts, Figures & Fiction*.