Which one of the following statements is true about the series the series from n equals 1 to infinity of the quotient of negative 1 raised to the nth power and n ? (4 points) Is this A or B? I am a little confused.

A) It is absolutely convergent.
B) It is the alternating harmonic series and is conditionally convergent.
C) It is divergent.
D) Its sum is 0.

1 answer

B is true, so you know A is false.

all those words! Just write
sum (-1)^n/n
or, if you just have to do it, maybe
sum(n=1..infinity) (-1)^n/n