1.

\frac { 1 } { 1.2 .3 } + \frac { 1 } { 2.3 .4 } + \frac { 1 } { 3.4 .5 } + \ldots + \frac { 1 } { n ( n + 1 ) ( n + 2 ) } = \frac { n ( n + 3 ) } { 4 ( n + 1 ) ( n + 2 ) }

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