How Many Terms of the Series Do We Need to Add

question 43

Multiple Choice

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) \(n = 13\)