## prove that pi/8 =1/1.3 + 1/5.7 + 1/9.11 … Or show that pi/8 =1/1.3 + 1/5.7 + 1/9.11 π/8= 1/1.3 + 1/5.7 + 1/9.11 pi series infinite series for pi The sum of the series pi/8 =1/1.3 + 1/5.7 + 1/9.11 to ∞ is

## The sum of the series | sum of the infinite series

by using **madhavacharya** π series

\frac{\pi}{4}=(1-\frac{1}{3})+(\frac{1}{5}-\frac{1}{7})+(\frac{1}{9}-\frac{1}{11})+...\infty

\frac{\pi}{4}=\frac{2}{1.3}+\frac{2}{5.7}+\frac{2}{9.11}+...\infty

Therefore, \; \frac{\pi}{8}=\frac{1}{1.3}+\frac{1}{5.7}+\frac{1}{9.11}+...\infty

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