## geometric series question

Evaluate $$\Sigma 2(1/10)^n$$ or explain why it diverges. (Infinity is on the top of the sum and n=1 on the bottom, I just didn't know how to put it in latex)

This was a test question that I got wrong. I thought that it was a geometric series with r= 1/10. This would mean that r is less than 1 so the series would converge. Why is the question saying that it will diverge?

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 Blog Entries: 9 Recognitions: Homework Help Science Advisor I get $\frac{2}{9}$,too.It would have been $\frac{20}{9}$,had the summation started from n=0. To the OP: $$\sum_{n=1}^{\infty} \frac{2}{10^{n}}$$ Daniel.