Answer
$a_n=(-1)^{n+1}n$
Work Step by Step
If we look at the pattern:
$ 1, -2, 3, -4, ...$
$(-1)^2(1), (-1)^3(2), (-1)^4(3), (-1)^5(4), ...$
Hence, the nth term in the sequence is:
$a_n=(-1)^{n+1}n$
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