1-1/2+1/4-1/8+1/16-1/32+1/64-1/128+1/256-1/512
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/09/14 01:35:47
1-1/2+1/4-1/8+1/16-1/32+1/64-1/128+1/256-1/512
亲,各位大侠们,赶快救我吧!
亲,各位大侠们,赶快救我吧!
1-1/2+1/4-1/8+1/16-1/32+1/64-1/128+1/256-1/512
这是首项为1,公比为-1/2的等比数列前10项和,
由公式即有:
1-1/2+1/4-1/8+1/16-1/32+1/64-1/128+1/256-1/512
=[1-(-1/2)^10]*1/(1+1/2)
=(2/3)*[1-(1/2)^10]
=(2/3)*1023/1024
=1023/1536
=341/512
这是首项为1,公比为-1/2的等比数列前10项和,
由公式即有:
1-1/2+1/4-1/8+1/16-1/32+1/64-1/128+1/256-1/512
=[1-(-1/2)^10]*1/(1+1/2)
=(2/3)*[1-(1/2)^10]
=(2/3)*1023/1024
=1023/1536
=341/512
1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512
2\1+4\1+8\1+16\1+64\1+128\1+256\1+512\1
1-1/2+1/4-1/8+1/16-1/32+1/64-1/128+1/128+1/256-1/512
1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256
1/2-1/4-1/8-1/16-1/32-1/64-1/128-1/256
1/2-1/4-1/8-16/1-32/1-64/1-128/1-256/1
1-1/2+1/4-1/8+1/16-1/32+1/64-1/128+1/256-1/512+1/1024-1/2048
简便计算(1/4)+(1/8)+(1/16)+(1/32)+(1/64)+(1/128)+(1/256)+(1/512)
1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512,急
速算与巧算1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+1/1024+1/4
1+1+2+4+8+16+32+64+128+256+512+1024+2048+4096=?
计算1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+1/1024