Question

Alternating series help:
\[1- 1/2 +1/3 + 1/4 ... (-1)^{n+1}/n\]
My book says this is an alternating series, but I thought the signs had to alternate. Is this a mistake?

Answer 1

@eliassaab

Answer 2

@Zarkon @UnkleRhaukus

Answer 3

\[\sum\limits_1^n\frac{(-1)^{n+1}}n=1- 1/2 +1/3 -1/4 +\cdots (-1)^{n+1}/n\]

Answer 4

So, the book is incorrect, right?

Answer 5

if the book has a + in front of the quater then it is incorrect
\[\frac{(-1)^{4+1}}{4}=-1/4\]

Answer 6

Thank you