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Handout #15
CS 106A
October 8, 2007
Section Handout #2
—
Simple Java
Based on a handout by Eric Roberts
1. The Fibonacci sequence
In the 13th century, the Italian mathematician Leonardo Fibonacci
—
as a way to explain
the geometic growth of a population of rabbits
—
devised a mathematical sequence that
now bears his name.
The first two terms in this sequence,
Fib
(0) and
Fib
(1), are 0 and 1,
and every subsequent term is the sum of the preceding two.
Thus, the first several terms
in the Fibonacci sequence look like this:
Fib
(0)
=
0
Fib
(1)
=
1
Fib
(2)
=
1
(0 + 1)
Fib
(3)
=
2
(1 + 1)
Fib
(4)
=
3
(1 + 2)
Fib
(5)
=
5
(2 + 3)
Write a program that displays the terms in the Fibonacci sequence, starting with
Fib
(0)
and continuing as long as the terms are less than 10,000.
Thus, your program should
produce the following sample run:
This program continues as long as the value of the term is less than the maximum value,
so that the loop construct you need is a
while
, presumably with a header line that looks
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 Fall '08
 SAHAMI,M

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