6.11: Exercise
- Page ID
- 84721
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Before you go on, you might want to work on the following exercise.
There is an interesting connection between Fibonacci numbers and Pythagorean triples. If \(F\) is a Fibonacci sequence, then
\[\big(F_i F_{i+3}, \, 2 F_{i+1} F_{i+2}, \, F_{i+1}^2 + F_{i+2}^2 \big) \notag \]
is a Pythagorean triple, for all \(i \ge 1\).
Write a function named fib_triple
that takes n
as an input variable, computes the first n
Fibonacci numbers, stores them in a vector, and checks whether this formula produces Pythagorean triples for numbers in the .