Latest CTS Aptitude Question SOLUTION: (1- 1/6) (1-1/7) .... (1- (1/(n+4))) (1-(1/(n+5))) = ?

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(#M40007483) CTS question Numerical problem Keep an EYE

(1- 1/6) (1-1/7) .... (1- (1/(n+4))) (1-(1/(n+5))) = ?

Asked In CTS (12 years ago)

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varun dubey  (10 years ago)

(1-1/6)=5/6
(1-1/7)=6/7
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(1-1/n+4)=n+3/n+4
(1-1/n+5)=n+4/n+5
so the series is: 5/6 * 6/7 * 7/8* 8/9......n+2/n+3 * n+3/n+4 * n+4/n+5 = 5/n+5
becz from the first term only 5 is left and from the last term n+5 is left .and all will be cancel out like 6 frm 6, 7 from 7 and so on and at the last n+3 frm n+3, n+4 frm n+4.
so ans will be 5/n+5.

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soujanya  (12 years ago)

(5/6)(6/7).......((n+3)/(n+4))((n+4)/(n+5))=5/(n+5)

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