?

AP® Calculus AB-BC

Free Version

Upgrade subject to access all content

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 $0.001$.

A

$11$

B

$10$

C

$9$

D

$8$