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6.12: Exercise

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    86210

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    Before you go on, you might want to work on the following exercise.

    Exercise 6.1

    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 .

    This page titled 6.12: Exercise is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Allen B. Downey (Green Tea Press) via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.