L Lolauren1 New member Joined Mar 22, 2011 Messages 1 Mar 22, 2011 #1 sigma k=0 to infinity (sin(pi/6))^k is... A)1 B)2 C)1/(1-sq. root of 3/2) D) sq. root of 3/2/(1- sq. root of 3/2) E) does not converge
sigma k=0 to infinity (sin(pi/6))^k is... A)1 B)2 C)1/(1-sq. root of 3/2) D) sq. root of 3/2/(1- sq. root of 3/2) E) does not converge
tkhunny Moderator Staff member Joined Apr 12, 2005 Messages 11,325 Mar 23, 2011 #2 \(\displaystyle \sin\left(\frac{\pi}{6}\right) = 1/2\) Doesn't that make your series Geometric? That should be easy enough.
\(\displaystyle \sin\left(\frac{\pi}{6}\right) = 1/2\) Doesn't that make your series Geometric? That should be easy enough.