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

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

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

$=1/10$