How many terms of the series do we need to add in order to find the sum to the indicated accuracy? $\sum _ { n = 1 } ^ { \infty } 2 \frac { ( - 1 ) ^ { n + 1 } } { n ^ { 2 } } ( \text { |error } \mid )

Question

How many terms of the series do we need to add in order to find the sum to the indicated accuracy? $\sum _ { n = 1 } ^ { \infty } 2 \frac { ( - 1 ) ^ { n + 1 } } { n ^ { 2 } } ( \text { |error } \mid ) < 0.0399$
A) $n = 6$
B) $n = 8$
C) $n = 5$
D) $n = 12$
E) $n = 13$

Quizplus · Accepted Answer

The Answer of How many terms of the series do we need to add in order to find the sum to the indicated accuracy? $\sum _ { n = 1 } ^ { \infty } 2 \frac { ( - 1 ) ^ { n + 1 } } { n ^ { 2 } } ( \text { |error } \mid ) < 0.0399$
A) $n = 6$
B) $n = 8$
C) $n = 5$
D) $n = 12$
E) $n = 13$

How Many Terms of the Series Do We Need to Add