Question

[Nguyễn Hiền Chi]

Tính A= (1-1/2)(1-1/3)(1-1/4)....(1-1/2014)(1-2015)(1-1/2016)

Answer 1

[✓ ℍɠŞ_ŦƦùM $₦G ✓]

\(A=\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)........\left(1-\frac{1}{2014}\right)\left(1-\frac{1}{2015}\right)\left(1-\frac{1}{2016}\right)\)

\(A=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}........\frac{2015}{2016}\)

\(A=\frac{1}{2016}\)

Answer 2

[Đinh Đức Hùng]

\(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right).....\left(1-\frac{1}{2016}\right)\)

\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.....\frac{2015}{2016}\)

\(=\frac{1}{2016}\)