Đáp án + Giải thích các bước giải:
`A=1/4+1/4^2+1/4^3+...+1/4^2000`
`=>4A=4(1/4+1/4^2+1/4^3+...+1/4^2000)`
`=>4A=1+1/4+1/4^2+...+1/4^1999`
`=>4A-A=(1+1/4+1/4^2+...+1/4^1999)-(1/4+1/4^2+1/4^3+...+1/4^2000)`
`=>3A=1-1/4^2000`
`=>A=(4^2000/4^2000-1/4^2000)/3`
`=>A=(4^2000-1)/4^2000 :3`
`=>A=(4^2000-1)/4^2000 .1/3`
`=>A=(4^2000-1)/(3.4^2000)`