Answer
Diverges
Work Step by Step
The given series can be summed up as: $\dfrac{1}{200}+\dfrac{1}{400}+\dfrac{1}{600}+.....=\dfrac{1}{200} \Sigma_{n=1}^{\infty} \dfrac{1}{n}$
From the above series, we can see that the series shows a p-series with $p=1$.
Hence, we can conclude that the given series diverges by p-series test.
