# I neen to get a formula of the nth term for this sequence:1, 1/2, 3, 1/4, 5, 1/6...

I neen to get a formula of the nth term for this sequence:1, 1/2, 3, 1/4, 5, 1/6...
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Bordenauaa
The sequence 1,2,3,4,5,6,... is clearly just ${a}_{n}=n$
but we want the reciprocal of all even numbered terms and one way to do this is to use the alternating nature of
$\text{XXX}{\left(-1\right)}^{n-1}$
(noting that we need to subtract 1 from the exponent n so that it is the even and not the odd terms for which we take the recipocal.)
so, one possibility is
$\text{XXX}{a}_{n}={n}^{{\left(-1\right)}^{n-1}}$