Answer
$A(n)=(\frac{1}{n})^{(-1^n)}$
Work Step by Step
Ok so we start with the simply 1,2,3,4,5,6,7,8,9 sequence or $n$. Then we half to take the even terms and make them their reciprocals. To do this we add an element of $(-1^{(n)})$ to the sequence. And lets do (1/n) to the power this. That's our answer!
