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( 1 - \frac { 1 } { 6 } ) ( 1 - \frac { 1 } { 7 } ) ( 1 - \frac { 1 } { 8 } ) \dots ( 1 - \frac { 1 } { n + 4 } ) ( 1 - \frac { 1 } { n + 5 } ) \text { for } n \in N |
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Answer» (1-1/6)(1-1/7)(1-1/8)....(1-n/(n+4))(1-n/(n+5))=5/6*6/7*7/8....4/(n+4)*5/(n+5)=5/(n+5) (except these two all terms will be cancelled out)so product is 5/(n+5) |
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