Thread: alternating series test

Hi all,

I was wondering for the following series:



NOTE: in the numerator it is meant to be (-1)^(n-1) times by (-1)^n .... sorry i can't it get the code to work

are you allowed to let a_n = (-1)^n/ n and say that since a_n is not >0 for all n>=1, therefore the series diverges?

Thanks in advance,
ArTiCk

Originally Posted by ArTiCK

Hi all,

I was wondering for the following series:



NOTE: in the numerator it is meant to be (-1)^(n-1) times by (-1)^n .... sorry i can't it get the code to work

are you allowed to let a_n = (-1)^n/ n and say that since a_n is not >0 for all n>=1, therefore the series diverges?

Thanks in advance,
ArTiCk

your here. so,

Note that , thus your series is , which is a divergent harmonic series. The alternating series test does not apply since you do not have an alternating series.