Question

Find the value of the following equation, when the value of m = 150.

$m\times (1-\frac{1}{2})\times (1-\frac{1}{3})\times (1-\frac{1}{4})\times (1-\frac{1}{5})\times (1-\frac{1}{6})\dots \dots \dots \dots (1-\frac{1}{m})=?$

• A. 149
• B. 1
• C. 150
• D. (1/149)
• E. None of these

Answer 1

The correct option is B

1

$[\frac{1}{2}\times \frac{2}{3}\times \frac{3}{4}\times \frac{4}{5}\times \dots \dots \dots \dots \times \frac{149}{150}]\times 150=1$