1⼀2+1⼀4+1⼀8+1⼀16+1⼀32+1⼀64+1⼀128+......+1⼀1024

楼主你好~~~很高昌哪兴回答你的问题

这道题是有技巧的，不是靠死算的

下面我给你算一下举肆，希望你能学到其中的技巧1/2+1/4+1/8+1/16+1/32+1/64+1/128+......+1/1024
=(1-1/2)+(1/耐答码2-1/4)+(1/4-1/8)+......+(1/64-1/128)+......+(1/512-1/1024)
=1-1/2+1/2-1/4+1/4-1/8+......+1/512-1/1024)=1-1/1024
=1023/1024

1023/1024

1/2+1/4+1/8+1/16+1/32+1/64+1/128+......+1/型耐1024
=1-1/2+1/4+1/8+1/16+1/32+1/64+1/128+......+1/1024
=1-1/4+1/8+1/16+1/32+1/64+1/128+......+1/1024
=1-1/告雀8+1/16+1/32+1/64+1/128+......+1/1024
=...
....
=1-1/1024
=1023/袜租早1024

S(n)=1/2(1-1/2^10)/(1-1/2)
=1023/1024

这是等比数列 q=1/毁游2
1024=(1/2)^10
n=10
s=1/2(1-(1/2)^10)/仿蚂(1-1/2)=1-(1/2)^10=1023/备余埋1024