The expression (1+1/3) (1+1/4) (1+1/5) … (1+1/n) simplifies to · ABC26GN1069
Subject: General Aptitude · Chapter: Simplification · Exam: M.B.A. 2006 2008
The expression $\left(1+\frac{1}{3}\right)\left(1+\frac{1}{4}\right)\left(1+\frac{1}{5}\right) \cdots\left(1+\frac{1}{n}\right)$ simplifies to
(a)$\frac{n+1}{3}$
(b)$\frac{n}{n+1}$
(c)$\frac{3}{n}$
(d)$1+\frac{1}{3} \cdot \frac{1}{4} \cdot \frac{1}{5} \cdots \cdot \frac{1}{n}$
Answer
Explanation
Given exp. $=\frac{4}{3} \times \frac{5}{4} \times \frac{6}{5} \times \ldots . \times \frac{n+1}{n}=\frac{n+1}{3}$.
Explanation as extracted from the printed page; notation may be imperfect.
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