- #1
skyturnred
- 118
- 0
Homework Statement
The original question is posted on my online-assignment. It asks the following:
Determine whether the following series converges or diverges:
[itex]\sum^{\infty}_{n=1}[/itex][itex]\frac{3^{n}}{3+7^{n}}[/itex]
There are 3 entry fields for this question. One right next to the series above with the following options:
either [itex]\succ[/itex] or [itex]\prec[/itex] then next to that there is a field in which to input the thing that I am going to compare it to.
the third and final field I choose divergent or convergent
Homework Equations
The Attempt at a Solution
So I compared it to ([itex]\frac{4^{n}}{6^{n}}[/itex]) because the original series is clearly less than this one. By doing the comparison test I determined that the series converges.
So I get "less than" right and "converges" right but I didn't get the other part right. Isn't it true that the original series is less than the one I decided above? Or was I wrong somewhere else?