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Compute in simpliest form:

\(\left(1 - \frac{1}{3}\right) + \left(\frac{1}{3} - \frac{1}{5}\right) + \left(\frac{1}{5} - \frac{1}{7}\right) + \left(\frac{1}{7} - \frac{1}{9}\right) + \cdots + \left(\frac{1}{17} - \frac{1}{19}\right)\)

 Dec 9, 2018
 #1
avatar+98102 
+1

Note that  we can write this in a slightly different manner

 

1 + (-1/3 + 1/3) + (-1/5 + 1/5) + (-1/7 + 1/7) +......+ (-1/17 + 1/17) - 1/19    =

 

1 - 1/19  =

 

18 /19    

 

 

cool cool cool

 Dec 9, 2018

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