Determine How Many Terms Should Be Used to Estimate the Sum

question 453

Multiple Choice

Determine how many terms should be used to estimate the sum of the entire series with an error of less than 0.001.
- $$\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \frac { 1 } { 6 n ^ { 2 } + 1 }$$

• A) \(n \geq 12\)
• B) \(n \geq 31\)
• C) \(\mathrm { n } \geq 13\)
• D) \(\mathrm { n } \geq 11\)

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