Posted by **Jin** on Sunday, March 4, 2007 at 7:29pm.

If you have a geometric alternating series, and you prove that the series is converging by doing geometric series test, and NOT alternating series test, then does that allow you to say that the series converges ABSOLUTELY?

Or should you do alternate series test also to say that it converges absolutely? I was confused because I know that ratio test and root test allows you to say that it converges absolutely without doing the alternate integral test.

What about the other tests like comparison tests and integral test?

Thanks!

If it is a geo alternating, then proof of the geometric convergence test is sufficent for absolute convergence.

Any test, and there are several, that says the series converges absolutely is sufficent: others are not required.

## Answer This Question

## Related Questions

- Calc - Does 1/ln(x+1) converge or diverge? I've tried the nth term test, limit ...
- calculus - Consider the infinite series of the form: (+/-)3(+/-)1(+/-)(1/3...
- calculus - Consider the infinite series of the form: (+/-)3(+/-)1(+/-)(1/3...
- Calculus - Consider the infinite series of the form: (+/-)3(+/-)1(+/-)(1/3...
- math - for this infinite series (-1)^n/n^2 if i use alternating series test to ...
- calculus - test the series for convergence or divergence using the alternating ...
- calculus - test the series for convergence or divergence using the alternating ...
- calc. - find the sum of the series of (-2)^n/3^n+1. This is an alternating ...
- Calculus - How can I prove this series alternating series converges(this is the ...
- Calc - We are working on finding the intervals of convergence of power series in...

More Related Questions