Difference between revisions of "Coalescence"

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(Sum of the Infinite Series)
(Sum of the Infinite Series)
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=Sum of the Infinite Series=
 
=Sum of the Infinite Series=
 
<math>\sum_{i=2}^\infty\frac{2N}{\frac{n(n-1)}{2}}=\sum_{i=2}^\infty\frac{4N}{n(n-1)}=4N\sum_{i=2}^\infty\frac{1}{n(n-1)}</math>
 
<math>\sum_{i=2}^\infty\frac{2N}{\frac{n(n-1)}{2}}=\sum_{i=2}^\infty\frac{4N}{n(n-1)}=4N\sum_{i=2}^\infty\frac{1}{n(n-1)}</math>
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<math>4N\sum_{i=2}^\infty\frac{1}{n(n-1)}=4N\sum_{i=1}^\infty\frac{1}{n(n+1)}</math>

Revision as of 01:31, 18 September 2018

Sum of the Infinite Series

[math]\sum_{i=2}^\infty\frac{2N}{\frac{n(n-1)}{2}}=\sum_{i=2}^\infty\frac{4N}{n(n-1)}=4N\sum_{i=2}^\infty\frac{1}{n(n-1)}[/math]

[math]4N\sum_{i=2}^\infty\frac{1}{n(n-1)}=4N\sum_{i=1}^\infty\frac{1}{n(n+1)}[/math]