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Algebra
Question

Show that \(\frac { 1 } { j ( j + 1 ) } = \frac {...

Show that \(\frac { 1 } { j ( j + 1 ) } = \frac { 1 } { j } - \frac { 1 } { j + 1 }\) , and hence evaluate \(\sum _ { j = 1 } ^ { n } \frac { 1 } { j ( j + 1 ) }\)

Answer

\(n / ( n + 1 )\)

Solution
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