Find $P _ { k + 1 }$ For the Given $P _ { k }$

question 71

Multiple Choice

Find $P _ { k + 1 }$ for the given $P _ { k }$ .
$$P _ { k } = \frac { 4 } { k ( k + 1 ) }$$

• A) \(P _ { k + 1 } = \frac { 4 } { k ( k + 1 ) } + 1\)
• B) \(P _ { k + 1 } = \frac { 4 } { k ( k + 1 ) } + \frac { 4 } { ( k + 1 ) ( k + 2 ) }\)
• C) \(P _ { k + 1 } = \frac { 4 } { ( k + 1 ) ( k + 2 ) }\)
• D) \(P _ { k + 1 } = \frac { 4 } { k ( k + 2 ) }\)
• E) \(\quad P _ { k + 1 } = \frac { 16 } { ( k + 1 ) ( k + 2 ) }\)

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