SOLUTION: Find the sum of the series 15/42+15/56+15/72+15/90+…+15/9900

Question 1186693: Find the sum of the series 15/42+15/56+15/72+15/90+…+15/9900
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
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Find the sum of the series 15/42+15/56+15/72+15/90+…+15/9900
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The series is 15 times  S = 


Each addend in the sum S is


     =          (1)

     =        
    
     = 

     = 

       . . . and so on . . . 

     =      (last)


The pattern is clear.


When you add the lines from (1) to the (last),  all  intermediate terms with opposite signs will cancel each other, 

leaving only   =  = .


So the ANSWER to the problem's question is   =  =  = 2.35.

Solved, answered and explained.

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