Difference between revisions of "Coalescence"
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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]