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Home › HSSC Panchayat Officer Exams › 2017 (Shift-2)
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1/2! + 2/3! + 3/4! + ...... up to n terms =

A
1 − 1/(n + 1)!
B
1 + 1/(n + 1)!
C
1 − 1/n!
D
1 + 1/n!
Correct Option: A

Explanation

The general term k/(k + 1)! can be written as 1/k! − 1/(k + 1)!. Therefore the series telescopes: 1/2! + 2/3! + ... + n/(n + 1)! = 1 − 1/(n + 1)!.

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