Question
What is the value of the product (1 – 1/2) (1 – 1/3) (1 – 1/4) (1 – 1/5)?
A. 1/5
B. 2/5
C. 3/5
D. 1
Answer: A. 1/5
Solution:
=> (1 – 1/2) = 1/2
=> (1 – 1/3) = 2/3
=> (1 – 1/4) = 3/4
=> (1 – 1/5) = 4/5 gives (1 – 1/2)(1 – 1/3)(1 – 1/4)(1 – 1/5)
= 1/2 × 2/3 × 3/4 × 4/5
= 1/5
Read More:
What is the sum of this arithmetic series: 7 + 12 + 17 + 22 + … + 72?