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3.17 How to find cummulative sum

compute \(\sum \limits _{k=1}^{10} \frac {1}{k\left ( k+1\right ) }\)

Mathematica 

N[Sum[1/(k*(k + 1)), {k, 10}]]
 


0.9090909090909091

 

Matlab 

format long 
k=1:10; 
s=cumsum(1./(k.*(k+1))); 
s(end)
 


   0.909090909090909

 

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