Homework Help: Math

Posted by sh on Tuesday, June 16, 2009 at 9:25pm.

For what values of x(x≠0) will the following infinite geometric series have a finate sum?
x+3x²+9x³+...

3x²/x
what are the next steps?

Thanks in advance.

Math - drwls, Wednesday, June 17, 2009 at 12:33am
The ratio of succesasive terms is 3x. This must be less than 1 for the infinite series to have a finite sum. Therefore x < 1/3 is required.
Math - sh, Wednesday, June 17, 2009 at 2:08am
Thanks!

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