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January 3rd, 2019, 03:44 PM   #1
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Simple sequence

Find n-th term or function $\displaystyle f(n)$ that defines the sequence
$\displaystyle 2,2,0,0,0,....\; \; $ (infinite zeros after second term)
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January 3rd, 2019, 06:26 PM   #2
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Huh?
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January 3rd, 2019, 06:39 PM   #3
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$\displaystyle f(n) = 1 - \frac{|2n - 5|}{2n - 5}$, where $n$ is a positive integer.
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January 4th, 2019, 05:16 AM   #4
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Another one is $\displaystyle f(n)=n \lfloor \frac{2}{n} \rfloor$
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January 4th, 2019, 07:55 AM   #5
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$$f(n) = \begin{cases}2 & ( n \le 2 ) \\ 0 & (n \gt 2)\end{cases} \qquad n \in \mathbb N$$
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January 4th, 2019, 10:42 AM   #6
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Here comes the other one $\displaystyle f(n)=2\lfloor 2^{-1} +n^{-1} \rfloor$
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