Question

[Đào Thị Hương Lan]

a, ( 1+ 1/2 ) x ( 1+ 1/3) x ... x ( 1+ 1/100)

b, ( 1- 1/2 ) x ( 1 - 1/3 ) x ... x ( 1- 1/2017)

Answer 1

[Đức Phạm]

a) \(\left(1+\frac{1}{2}\right)\cdot\left(1+\frac{1}{3}\right)\cdot.....\cdot\left(1+\frac{1}{100}\right)\)

\(=\frac{3}{2}\cdot\frac{4}{3}\cdot....\cdot\frac{101}{100}\)

\(=\frac{101}{2}=50,5\)

b) \(\left(1-\frac{1}{2}\right)\cdot\left(1-\frac{1}{3}\right)\cdot...\cdot\left(1-\frac{1}{200}\right)\)

\(=\frac{1}{2}\cdot\frac{2}{3}\cdot....\cdot\frac{199}{200}\)

\(=\frac{1}{200}\)