Determine the number of terms required to approximate the sum of the series from n=1 to infinity of ((-1)^(n+1))/(2n^3 - 1) with an error less than 0.001.

Question

I think this is 5 terms, but I'm unsure whether to set this up as 2n^3 - 1 < 0.001 or 2(n + 1)^3 - 1 < 0.001.