Posted by **Joe** on Saturday, September 4, 2010 at 9:39pm.

Use the ratio test to determine whether the series is convergent or divergent.

1/2 + 2^2/2^2 + 3^2/2^3 + 4^2/2^4 + ...

- calculus -
**drwls**, Saturday, September 4, 2010 at 10:46pm
As n-> infinity, the ratio of successive terms, [(n+1)/n]^2*(1/2), approaches 1/2

Read about the ratio test here (if you are not already familiar with it):

http://en.wikipedia.org/wiki/Ratio_test

That will tell you what the answer is in this case.

## Answer This Question

## Related Questions

- calculus - Use the ratio test to determine whether each series is convergent or ...
- calculus - use the integral test to determine whether the series is convergent ...
- calculus - use the comparison test to determine whether the series is ...
- Calculus 2 (Series - Convergent or Divergent?) - Can someone show me a step by ...
- Calculus - Determine whether the series is convergent or divergent. If it is ...
- calculus (integral test) - use integral test to determine whether the series is ...
- calculus - determine if the series is absolutely convergent and convergent the ...
- calculus - is this correct? use the integral test to determine if this series is...
- Calculus - Determine whether the series is convergent or divergent. If it is ...
- Convergent/Divergent - determine whether the series 1 + 1/2^5 + 1/3^5 + 1/4^5...

More Related Questions