You do not have to submit your work on this worksheet. You may work on your own paper or using tablet applications $($such as Goodnotes, OneNote, etc$).$

For any series, in order to conclude that it converges or diverges, you MUST state which test you used, and show the work to verify every hypothesis of that test.

Determine whether the series is convergent or divergent. If it is convergent, find its sum in two different ways.

$\frac{1}{4}+\frac{2}{16}+\frac{1}{64}+\frac{2}{256}+\frac{1}{1024}+\frac{2}{4096}+$cdots