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

Question

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

Quizplus · Accepted Answer

The Answer of 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

Find the Sum of the Convergent Series ∑n=0∞(−1)n142n+1(2n+1)\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \frac { 1 } { 4 ^ { 2 n + 1 } ( 2 n + 1 ) } ∑n=0∞​(−1)n42n+1(2n+1)1​

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