Đáp án:
Giải thích các bước giải:A=1/2+1/2^2+1/2^3+...+1/2^1009+1/2^2010
2A=2(1/2+1/2^2+1/2^3+...+1/2^1009+1/2^2010)
=1+1/2+1/2^2+1/2^3+...+1/2^1009
do A+A=2A=>
2A-A=(1+1/2+1/2^2+1/2^3+...+1/2^1009)-(1/2+1/2^2+1/2^3+...+1/2^1009+1/2^2010)
A=1/2+1/2^2+1/2^3...+1/2^1009-1/2-1/2^2-1/2^3....-1/2^2010
=1-1/2^2010