Thread: Determining whether series is convergent or divergent?

Determine whether each series is convergent or divergent

1. (1/2) -(3/8) + (9/32)

2. 1+(3/1 x 2 x3)+ (5/1 x2 x 3 x 4 x 5)

3. (4pi/3)+ 5pi/6 + pi/3


The problem I am having on these is finding the general terms for the series so that I can use the comparison test. Any help would be appreciated as I have been trying to find the An term but these series throw me off.

Only three terms for each series?

Yes Im only given three terms.

I believe you were given the first three terms ... convergence/divergence is checked for infinite series.



this infinite series is

... an infinite geometric series with common ratio between -1 and 1.

what does that tell you?

2. 1+(3/1 x 2 x3)+ (5/1 x2 x 3 x 4 x 5)

converge? what test would you use?

3. (4pi/3)+ 5pi/6 + pi/3

I mean they are infinite series in that they keep going and have those .... at the end.