Tag Archives: divisibility

Fibonacci numbers, 7

I set a question about Fibonacci numbers in the coursework for Mathematical Structures. I was taken to task by John Bray for starting the sequence in the wrong place. He claims that the “official” Fibonacci numbers begin F0 = 0, F1 = 1, and … Continue reading

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Mathematical Structures, 6

The main topic this week was integers, divisibility, and Euclid’s algorithm for greatest common divisor. How do you construct the integers from the natural numbers? There are two ways: You could say that Z = N∪{0}∪{−n:n∈N}. That is, an integer is either … Continue reading

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