I have a series that I think might be a Maclaurin one, but I'm not sure:
1/4 - 1/(2(4^2)) + 1/(3(4^3)) - ..... + ( (-1)^(k+1) )/(k(4^k))
And I have to find it's sum. Does anyone know where to start? I'm not even sure how to get the general term of the sequence.
Thanks in advance
The sum or a series Watch
- Thread Starter
- 29-11-2010 18:24
- 29-11-2010 18:31
You've already been given the general term of the sequence.. it's ( (-1)^(k+1) )/(k(4^k))
And you're right, it is a maclaurin one, so why not compare it to some series for some common functions, and see if you can spot which it might be related to
- 29-11-2010 18:32
You've already written the form of the general term?
All I can suggest for this is look at the list of Maclaurin series on this page: http://en.wikipedia.org/wiki/Taylor_series and try to spot which one to use.