Find Pk _{+ 1} for the Given Pk $p _ { k } = \frac { 6 } { k ( k + 1 ) }$

Multiple Choice

Find pk _{+ 1} for the given pk. $p _ { k } = \frac { 6 } { k ( k + 1 ) }$

A) $p _ { k + 1 } = \frac { 2 } { k ( k + 2 ) }$
B) $p _ { k + 1 } = \frac { 6 } { ( k + 1 ) ( k + 1 ) }$
C) $p _ { k + 1 } = \frac { 6 } { ( k + 1 ) ( k + 2 ) }$
D) $p _ { k + 1 } = \frac { 6 } { ( k + 2 ) ( k + 6 ) }$
E) $p _ { k + 1 } = \frac { 6 } { k ( k + 2 ) }$