Question

1/2+3/4+7/8+....+511/512+1023/1024

Answer 1

A=1-1/2+1-1/4+...+1-1/2024

=10-(1/2+1/4+...+1/2024)

Đặt B=1/2+1/4+...+1/1024

=>2B=1+1/2+...+1/512

=>B=1-1/1024=1023/1024

=>A=10-1023/1024=9217/1024