Find the Sum of the Convergent Series $\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \frac { 1 } { 4 ^ { 2 n + 1 } ( 2 n + 1 ) }$

question 144

Multiple Choice

Find the sum of the convergent series $\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \frac { 1 } { 4 ^ { 2 n + 1 } ( 2 n + 1 ) }$ by using a well-known function. Round your answer to four decimal places.

• A)0.1419
• B)0.2450
• C)0.8961
• D)0.1651
• E)0.1974

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