1/2+1/4+1/8+1/16+1/32+1/64这条题目要简便方法怎么算?要算的过程,

1/2+1/4+1/8+1/16+1/32+1/64这条题目要简便方法怎么算?要算的过程,
1/2+1/4+1/8+1/16+1/32+1/64这条题目要简便方法怎么算?要算的过程,

1/2+1/4+1/8+1/16+1/32+1/64这条题目要简便方法怎么算?要算的过程,
s=1/2+1/4+1/8+1/16+1/32+1/64①
2s=1+1/2+1/4+1/16+1/32②
②-①(相同项全部抵消,只剩首位2项)
s=1-1/64=63/64