Find Pk₊₁ for the Given P_k $P _ { k } = \frac { 3 } { k ( k + 7 ) }$

Multiple Choice

Find Pk₊₁ for the given P_k. $P _ { k } = \frac { 3 } { k ( k + 7 ) }$

A) $P _ { k + 1 } = \frac { 3 } { k ( k + 7 ) } + 1$
B) $P _ { k + 1 } = \frac { 3 } { k ( k + 7 ) } + \frac { 3 } { ( k + 1 ) ( k + 8 ) }$
C) $P _ { k + 1 } = \frac { 3 } { ( k + 1 ) ( k + 8 ) }$
D) $P _ { k + 1 } = \frac { 3 } { k ( k + 8 ) }$
E) $P _ { k + 1 } = \frac { 8 } { ( k + 1 ) ( k + 7 ) }$