determine whether this infinite geometric series converges/diverges~?

2009-11-17 6:44 am
2 - (2/3) + (2/9) - (2/17) + ......

I have no idea how to determine its convergence/divergence because of the change of sign.Please give as much detail as you can.
Thanks!!!

回答 (1)

2009-11-17 7:00 am
✔ 最佳答案
r = -1/3
Absolute of r = 1/3, less than 1.
S=2/(1+1/3)=2/(4/3)=6/4=3/2
Converges


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