12用15日是什么座 1/4+1/8+1/15+1/32+1/64+1/128用简便计算等于多少?
1/4+1/8+1/15+1/32+1/64+1/128用简便计算等于多少?

1/4+1/8+1/15+1/32+1/64+1/128用简便计算等于多少?
用简便计算
1/4+1/8+1/16+1/32+1/64+1/128
=1/2-1/128
=63/128
用简便方法怎样计算:1/2+1/4+1/8+1/10+1/32+1/64+1/128+1/256
解:
1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256
=(1-1/2)+(1/2-1/4)+(1/4-1/8)+(1/8-1/16)+(1/16-1/32)+(1/32-1/64)+(1/64-1/128)+(1/128-1/256)
=1-1/256
=255/256
1/4+1/8十1/16+1/32+1/64简便计算
解: 1/4+1/8十1/16+1/32+1/64
=(16+8+4+2+1)/64
=31/64
下面各题怎样简便就怎样算 1/2+1/4+1/8+1/16+1/32+1/64+1/128
令M= 1/2+1/4+1/8+1/16+1/32+1/64+1/128 ①
2M=1+1/2+1/4+1/8+1/16+1/32+1/64 ②
②-①得M=1-1/128=127/128
1/8+1/16+1/32+1/64+1/128
令a=1/8+1/16+1/32+1/64+1/128
2a=1/4+1/8+1/16+1/32+1/64+1/64
相减
a=1/4-1/128=31/128
所以1/8+1/16+1/32+1/64+1/128=31/128
利用图形揭示的规律计算 1/2+1/4+1/8+1/6+1/32+1/64+1/128
你的题目应该是1/2+1/4+1/8+1/16+1/32+1/64+1/128
正确做法应为:
1/2+1/4+1/8+1/16+1/32+1/64+1/128
= 64/128+32/128+16/128+8/128+4/128+2/128+1/128
=(64+32+16+8+4+2+1)/128
=127/128
1/4+1/8+1/16+1/32+1/64+1/128= 用转化方法做。
=1/2*(1/2+1/4+1/8+1/16+1/32+1/64)=1/2*63/64=63/128
简便计算(要过程):1/1024+1/32+1/64+1/128+1/256+1/512+1/1024=?
原式=1/2^10+1/2^5+1/2^6+1/2^7+1/2^8+1/2^9+1/2^10
=(1+2^5+2^4+2³+2²+2+1)/2^10
=[1+(1-2^6)/(1-2)]/2^10
=(1+64)/2^10
=65/1024
1/2+1/4+1/8+1/16+1/32+1/64+1/128算出计算过程,帮忙一下
原式=(1/2+1/4)+1/8+1/16+1/32+1/64+1/128
=(3/4+1/8)+1/16+1/32+1/64+1/128
=(7/8+1/16)+1/32+1/64+1/128
=. . .
=127/128
.
计算1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+1/1024 要解题过程
用裂项法解,1/2 = 1 - 1/2, 1/4 = 1/2 - 1/4, 1/8 = 1/4 - 1/8,原式就等于
1 - 1/2 + 1/2 - 1/4 + 1/4 - 1/8 ... + 1/512 - 1/1024
所以=1 - 1/1024 = 1023/1024