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# 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 $0.001$.

A

$11$

B

$10$

C

$9$

D

$8$