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John MacFarlane
29 lines
601 B
Typst
29 lines
601 B
Typst
#set page(width: 10cm, height: auto)
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#set heading(numbering: "1.")
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= Fibonacci sequence
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The Fibonacci sequence is defined through the
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recurrence relation $F_n = F_(n-1) + F_(n-2)$.
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It can also be expressed in _closed form:_
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$ F_n = round(1 / sqrt(5) phi.alt^n), quad
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phi.alt = (1 + sqrt(5)) / 2 $
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#let count = 8
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#let nums = range(1, count + 1)
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#let fib(n) = (
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if n <= 2 { 1 }
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else { fib(n - 1) + fib(n - 2) }
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)
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The first #count numbers of the sequence are:
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#align(center, table(
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columns: count,
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..nums.map(n => $F_#n$),
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..nums.map(n => str(fib(n))),
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))
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#include "undergradmath.typ"
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