1+1/4+1/16+1/64+1/256+1/1024
问题描述:
1+1/4+1/16+1/64+1/256+1/1024
答
等比数列,有求和公式
如果没学,可以用错位相减
设m=1+1/4+1/16+1/64+1/256+1/1024
同时乘1/4,得:
1/4m=1/4+1/16+1/64+1/256+1/1024+1/4096
错位相减,得:
3/4m=1-1/4096=4095/4096
m=4095/4096*4/3=1365/1024