My Math Forum Series Question - Convergence
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 April 12th, 2012, 09:32 AM #1 Newbie   Joined: Apr 2012 Posts: 1 Thanks: 0 Series Question - Convergence 3 + (3/4) + (3/ + (3/16) + (3/32)... I cannot solve the sigma notation. Can anyone assist? I think it may be 3 + Sigma (3 / 2 ^ (n+1) ) However, I cannot get it into Geo Sum notation so I can use S = a / (1 + r) to find where it converges.
 April 12th, 2012, 12:00 PM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,193 Thanks: 504 Math Focus: Calculus/ODEs Re: Series Question - Convergence I would write the series as: $S=3$$-\frac{1}{2}+\sum_{k=0}^{\infty}\frac{1}{2^k}$$=3$$-\frac{1}{2}+2$$=\frac{9}{2}$

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