Question

Is this the correct work for this ratio test series question?

Answer 1

So, the series converges by ratio test.

Answer 2

Other than noting that you probably meant \(\large 50^{2\color{red}{n}}\) in the first line, everything looks good to me. You would now conclude that the series is absolutely convergent.

Answer 3

Yes that is what I mean. Great! Thanks for the review :)