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January 16th, 2017, 04:45 AM  #1 
Member Joined: Sep 2016 From: zambia Posts: 31 Thanks: 0  Arithmetic and Geometric progression
An arithmetic series has first term 4 and common diffrence of 1.A geometric series has a first term of 8 and a common ratio of 0.5.After how many terms does the sum of the arithmetic series exceed the sum of the geometric series?

January 16th, 2017, 06:20 AM  #2  
Math Team Joined: Jul 2011 From: Texas Posts: 2,887 Thanks: 1506  Quote:
$\dfrac{n}{2}(n9) > 16(10.5^n)$ my calculator sez when $n = 12$ terms ...  
January 18th, 2017, 04:04 AM  #3  
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902  Quote:
and the second series is 8, 12, 14, 15, 15 1/2,15 3/4, 15 7/8, ... Looks like basic arithmetic to me.  
January 18th, 2017, 05:25 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,484 Thanks: 2041 
The question's wording is ambiguous. It isn't clear whether each series is summed to the same number of terms, and it isn't clear what "after" means.


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