Moderate# Finding the Number of Terms in an Alternating Series Given Error

APCALC-KI2HZA

Find the minimum number of terms needed to approximate the sum:

$$\sum _{ n=1 }^{ \infty }{ \cfrac { { ( -1 ) }^{ n } }{ { n }^{ 3 } } } $$

...with an error less than $0.001$.