08-02-2017
Mathematics

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Find the explicit formula for the nth term of the 2/9,0,2/9,0,......

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LammettHash LammettHash

08-02-2017

The odd-numbered terms are [tex]\dfrac19+\dfrac19[/tex], while the even-numbered terms are [tex]\dfrac19-\dfrac19[/tex], so one formula for the sequence is

[tex]a_n=\dfrac19\left(1+(-1)^{n+1}\right)[/tex]

where [tex]n\ge1[/tex].

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