This
sequence is named after the Italian mathematician who lived during the
12th century. It occurs in nature, modelling the population growth in rabbits,
and also the development of the spiral in a snail's shell.
The
terms in the sequence can be made by adding the previous two terms:
There
is a worksheet here, which
can be printed and photocopied for children to use. It involves the children
trying to work out how the sequence is made, and then getting them to work
out the first 25 numbers in the sequence. These are listed below...
| 1 |
1 |
2 |
3 |
5 |
8 |
13 |
21 |
34 |
55 |
89 |
144 |
233 |
| 377 |
610 |
987 |
1597 |
2584 |
4181 |
6765 |
10946 |
17711 |
28657 |
46368 |
75025 |
The
children may want to use a calculator to carry out the latter part of the
exercise, but whether they use one or not, they should understand the importance
of being accurate (and checking their calculations for errors). This is
because one simple mistake will make the rest of the sequence incorrect
(which can be very frustrating if you have spend a long time working out
sums!).
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