Question

What is the value of (1 - 1/2) (1 - 1/3) (1-1/4) ....... (1 - 1/10) ?

• A. 9/10
• B. 9
• C. 1/10
• D. 1/2

Answer 1

Answer:

C. 1/10

(1 -$\frac12$) (1 -$\frac13$) (1-$\frac14$) ....... (1 -$\frac{1}{10})$

$=1/2\times2/3\times3/4\times..........\times9/10$

$=1/10$