Question

[Trần Thị Đảm]

tính theo cách hợp lí

a) $$

b) \(\frac{1}{2}-\frac{1}{2016.2015}-\frac{1}{2015.2014}-....-\frac{1}{3.2}\)

Answer 1

[Nguyễn Lê Phước Thịnh]

b: \(=\dfrac{1}{2}-\left(\dfrac{1}{2}-\dfrac{1}{3}+...+\dfrac{1}{2015}-\dfrac{1}{2016}\right)\)

\(=\dfrac{1}{2}-\dfrac{1}{2}+\dfrac{1}{2016}=\dfrac{1}{2016}\)