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Finite Math - Fibonacci umbers - Sum of Consecutive Integers

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Fibonacci proved that if the sum of two consecutive integers is a square (that is, if n + (n - 1) = u^2 for some u), then the square of the larger integer will equal the sum of two nonzero squares. Verify this result and furnish several numerical examples.

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Solution Summary

This solution provides a detailed step by step explanation of the given mathematic problem involving Fibonacci umbers.

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Here are three examples?

(1) Let the integers be 4 and 5. 4 + 5 = 9, a square number. The square of the ...

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