Question

1/6+1/12+1/24+...+1/768

Answer 1

Gọi tổng đó là A

A = 1/6+1/12+1/24+...+1/768

A x 2 = 1/3 + 1/6 + 1/12 + 1/24 + .... + 1/384

A x 2 - A = 1/3 + 1/6 + 1/12 + 1/24 + .... + 1/384 -  1/6 + 1/12 + 1/24 + ... + 1/768

A = 1/3 - 1/768 = 85/256

Answer 2

Gọi tổng đó là Z

Z = 1/6+1/12+1/24+...+1/768

Z . 2 = 1/3 + 1/6 + 1/12 + 1/24 + .... + 1/384

Z . 2 - A = 1/3 + 1/6 + 1/12 + 1/24 + .... + 1/384 -  1/6 + 1/12 + 1/24 + ... + 1/768

Z = 1/3 - 1/768 = 85/256

Answer 3

Thanks