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Compute the sum of 
$$\frac{2}{1 \cdot 2 \cdot 3} + \frac{2}{2 \cdot 3 \cdot 4} + \frac{2}{3 \cdot 4 \cdot 5} + \cdots$$

 Sep 2, 2018
 #1
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Sorry, can't read this!.

 Sep 3, 2018
 #2
avatar+22188 
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Compute the sum of

 

\(\mathbf{\dfrac{2}{1 \cdot 2 \cdot 3} + \dfrac{2}{2 \cdot 3 \cdot 4} + \dfrac{2}{3 \cdot 4 \cdot 5} + \cdots}\)

\mathbf{\frac{2}{1 \cdot 2 \cdot 3} + \frac{2}{2 \cdot 3 \cdot 4} + \frac{2}{3 \cdot 4 \cdot 5} + \cdots}

 

answer see: https://web2.0calc.com/questions/algebra_47009#r4

 

laugh

 Sep 3, 2018
 #3
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sum(n, 1, infinity, [2 / ( n^3 + 3* n^2 + 2* n) ]=1/2

 Sep 3, 2018

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