-1,2,-4,8,-16,32,.,512的和

来源：学生作业帮助网编辑：六六作业网时间：2024/10/05 22:14:55

-1,2,-4,8,-16,32,.,512的和-1,2,-4,8,-16,32,.,512的和-1,2,-4,8,-16,32,.,512的和1+2+4+8+16+32+64+128+256+512

-1,2,-4,8,-16,32,.,512的和
-1,2,-4,8,-16,32,.,512的和

-1,2,-4,8,-16,32,.,512的和
1+2+4+8+16+32+64+128+256+512+1024
=2^0+2^1+2^2+2^3+2^4+2^5+2^6+2^7+2^8+2^9+2^10
令s=2^0+2^1+2^2+2^3+2^4+2^5+2^6+2^7+2^8+2^9+2^10
2s=2^1+2^2+2^3+2^4+2^5+2^6+2^7+2^8+2^9+2^10+2^11
2s-s=2^11-2^0
s=2^11-1
s=2048-1
s=2047
即1+2+4+8+16+32+64+128+256+512+1024 =2047