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

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

User Mskolnick
by
7.3k points

1 Answer

2 votes
The odd-numbered terms are
\frac19+\frac19, while the even-numbered terms are
\frac19-\frac19, so one formula for the sequence is


a_n=\frac19\left(1+(-1)^(n+1)\right)

where
n\ge1.
User Mox Shah
by
8.2k points
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