August 31st, 2010, 01:21 PM  #1 
Newbie Joined: Aug 2009 Posts: 29 Thanks: 0  how do I simplify this How do I simplify this to find the type of series? but I know this series is convergent. 
August 31st, 2010, 01:49 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,641 Thanks: 625  Re: how do i simplify this
Factor out 112 (7x4x4) and you will have a geometric series ?(4/7)^k = 4/3, so the final result is 448/3.

August 31st, 2010, 02:37 PM  #3 
Global Moderator Joined: Dec 2006 Posts: 19,981 Thanks: 1853 
It's already a (convergent) geometric series, since there is a common ratio of 4/7.


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