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29.11.2020 •
Mathematics
The Fibonacci numbers are defined as follows. f1 = f2 = 1 and, for n ≥ 3, fn = f(n1) + f(n - 2). The Fibonacci numbers with four or fewer digits are: f1 = 1, f2 = 1, f3 = 2, f4 = 3, f5 = 5, f6 = 8, f7 = 13, f8 = 21, f9 = 34, f10 = 55, f11 = 89, f12 = 144, f13 = 233, f14 = 377, f15 = 610, f16 = 987, f17 = 1597, f18 = 2584, f19 = 4181, and f20 = 6765. Prove that the Fibonacci number f3 n is even.
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