Consider the series: 1 3 1 1 2 7 1 9 1 2 4 3 1 8 1 dots The ratio test cannot deternine whether
Consider the series:
dots
The ratio test cannot deternine whether this series as uritten comerges of not: explain why.
Show that this series as uritten convergos using the root test. Hint: you'll need to fied a general term for this series. One way to do that involves splitting into odd and even terms, but it's poesible to find a single formula that covers everything.
NB Yes, if you rearrange the terns of combine pairs of terms then you can transform this into a geometric series. But then you're not working with the series as uritten, so plewse doa't.
