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October 29th, 2011, 08:57 AM  #1 
Senior Member Joined: Sep 2011 Posts: 395 Thanks: 0  Sequences and Series
Please see attachment. The majority of the question is answered and so I only need help with the final part; mathcing my 'sum to infinity' answer to what the text book has. Can anyone help me? Many thanks. 
October 29th, 2011, 10:14 AM  #2 
Math Team Joined: Apr 2010 Posts: 2,780 Thanks: 361  Re: Sequences and Series
I wouldn't write ; same letter for variable and upperbound. I'll choose k for the variable. You have: a = x and r = qx (note the different outcome; you had instead!) Now, you are also given: "q and x are both positive fractions less than one" so 0 < qx < 1 Find because the "upperbound" becomes as seen in since because qx<1, you have Got it? 
October 29th, 2011, 10:22 AM  #3 
Senior Member Joined: Sep 2011 Posts: 395 Thanks: 0  Re: Sequences and Series
Thank you.


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