（1）计算下面各题，并找出得数的规律．1-12=1-12-14=1-12-14-18=1-12-14-18-116=（2）应用上面的规律，直接写出下面各算式的得数．1-12-14-18-116-132=1-12-14-18-116-132-164=（3）照样子，自己写一个算式并

Question

（1）计算下面各题，并找出得数的规律．
1-(1)/(2)=
1-(1)/(2)-(1)/(4)=
1-(1)/(2)-(1)/(4)-(1)/(8)=
1-(1)/(2)-(1)/(4)-(1)/(8)-(1)/(16)=
（2）应用上面的规律，直接写出下面各算式的得数．
1-(1)/(2)-(1)/(4)-(1)/(8)-(1)/(16)-(1)/(32)=
1-(1)/(2)-(1)/(4)-(1)/(8)-(1)/(16)-(1)/(32)-(1)/(64)=
（3）照样子，自己写一个算式并写出得数．

Answer 1

（1）1-(1)/(2)=(1)/(2)
1-(1)/(2)-(1)/(4)=1-(1)/(2)-（(1)/(2)-(1)/(4)）=(1)/(4)
1-(1)/(2)-(1)/(4)-(1)/(8)=(1)/(4)-(1)/(8)=(1)/(8)
1-(1)/(2)-(1)/(4)-(1)/(8)-(1)/(16)=(1)/(8)-(1)/(16)=(1)/(16)
后一个数都是前一个数的(1)/(2)，因此可把每个分数拆成两个分数相减的形式，然后同加减相互抵消，求得结果．

（2）1-(1)/(2)-(1)/(4)-(1)/(8)-(1)/(16)-(1)/(32)=(1)/(32)
1-(1)/(2)-(1)/(4)-

作业帮用户 2017-10-12