# Math Help - Infinite series. calculus II?

1. ## Infinite series. calculus II?

Give an example of an infinite series which equals pi/4, which has no term (no multiple) of pi...the series should contain an infinite number of non zero distinct terms

thanks

2. Originally Posted by andrewt328
Give an example of an infinite series which equals pi/4, which has no term (no multiple) of pi...the series should contain an infinite number of non zero distinct terms

thanks
$\sum_{k=1}^\infty \frac{(-1)^{k}}{2k-1}=\arctan(1)=\frac{\pi}{4}$

3. thanks a ton