Latest TCS Aptitude Question SOLUTION: (1-1/3)(1-1/4)(1-1/5)…………………………………………………………(1-1/99) (1-1/100)

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(#M40011349) TCS question Keep an EYE

(1-1/3)(1-1/4)(1-1/5)…………………………………………………………(1-1/99) (1-1/100)

Asked In TCS Kousik Chowdhury (11 years ago)

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manikumar  (11 years ago)

(1-1/3)(1-1/4)(1-1/5)..............(1-1/99)(1-1/100)=
(2/3)(3/4)(4/5).....................(98/99)(99/100)
here the first numerator is canceld with second denominator finally we left with(2/100)=1/50

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shyamlesh dash  (11 years ago)

the product (1- 1/2)(1- 1/3)(1- 1/4) (1-1/5)…(1-1/99)(1-1/100) is equal to a
Now take note that the second numerator (2) cancels out with the first denominator (2). Likewise, the third numerator (3) cancels out with the second denominator (3). Furthermore, the fourth numerator (4) cancels out with the third denominator (4). This pattern continues on indefinitely. So after these terms cancel out, we're simply left with:1/100
so for this one the product (1- 1/3)(1- 1/4) (1-1/5)…(1-1/99)(1-1/100) is equal to a 1/50

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shyamlesh dash  (11 years ago)

what does the Acap c indicates nahy samajh aya question can u pls mail me at shyamleshd@gmail.com i will get the answer for u

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