November 16th, 2014, 05:44 PM  #1 
Newbie Joined: Sep 2014 From: Miami Posts: 18 Thanks: 2  Series Exponent
Hello, I am starting with series and I have an example from the book but I cannot figure out what they did with the exponents. Can anyone help? I want to know how to go from the first expression to the second one. $\displaystyle \sum_{n=1}^{\infty}\frac{4^{n}}{3^{n1}}=\sum_{n=1}^{\infty}4(\frac{4}{3})^{n1}$ Thanks 
November 16th, 2014, 06:06 PM  #2 
Newbie Joined: Sep 2014 From: Miami Posts: 18 Thanks: 2 
Hello Admins, I am so sorry. I posted this here. I was looking for the LaTex and I posted without noticing I was in the incorrect section. Can you move it? Thanks 
November 16th, 2014, 06:24 PM  #3 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,638 Thanks: 2623 Math Focus: Mainly analysis and algebra 
$$4^n = 4 \times 4^{n1}$$so$$\frac{4^n}{3^{n1}} = 4\times \frac{4^{n1}}{3^{n1}} = 4 \left( \frac43 \right)^{n1}$$

November 16th, 2014, 06:32 PM  #4 
Newbie Joined: Sep 2014 From: Miami Posts: 18 Thanks: 2  
January 9th, 2015, 08:36 PM  #5 
Newbie Joined: Jan 2015 From: usa Posts: 1 Thanks: 0 
Have you tried graphing it yet?


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