un represents the nth term of the Fibonacci sequence, show that
u
n = 1
+ 5 n ? 1 ? 5 n 2
., n 5n = 1, 2, 3, ...x, y, x + y, ... Petals on flowers
Probably most of us have never taken the time to examine very carefully the number or arrangement of petals on a flower. If we were to do so, we would find that the number of petals on a flower, that still has all of its petals intact and has not lost any, for many flowers is a Fibonacci number:- 3 petals: lily, iris
- 5 petals: buttercup, wild rose, larkspur, columbine (aquilegia)
- 8 petals: delphiniums
- 13 petals: ragwort, corn marigold, cineraria,
- 21 petals: aster, black-eyed susan, chicory
- 34 petals: plantain, pyrethrum
- 55, 89 petals: michaelmas daisies, the asteraceae family
http://www.world-mysteries.com/sci_17.htm
If
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