1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+1/1024 要解题思路,

1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+1/1024 要解题思路,
1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+1/1024 要解题思路,

1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+1/1024 要解题思路,
1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+1/1024
=1-1/1024
=1023/1024

1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+1/1024
=1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+[1/1024+1/1024]-1/1024
=1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+[1/512+1/512]-1/1024
=1/2+1/2-1/1024
=1-1/1024
=1023/1024

等比数列求和：
1/2+(1/2)^2+(1/2)^3+(1/2)^4+(1/2)^5+(1/2)^6+(1/2)^7+(1/2)^8+(1/2)^9+(1/2)^10=1023/1024