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15-section-2

# 15-section-2 - Mehran Sahami CS 106A Handout#15 Section...

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Mehran Sahami Handout #15 CS 106A October 10, 2011 Section Handout #2 Simple Java Portions of this 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 like this: while (term < MAX_TERM_VALUE) Note that the maximum term value is specified using a named constant.

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