1/2+1/4+1/8=1/16+1/32+……+1/1024+2048

来源：学生作业帮编辑：拍题作业网作业帮分类：数学作业时间：2024/05/01 03:49:41

原式=1/2+1/4+1/8=1/16+1/32+……+1/1024+2048 !=是+吧
=3/4+1/8+1/16+1/32+……+1/1024+2048
=7/8+1/16+1/32+……+1/1024+2048
找到规律：1/2^1+1/2^2+1/2^3
=2^2-1/2^2+3
=2^3-1/2^2
=7/8+1/16+1/32+……+1/1024+2048
=1023/1024+2048
=2048又1023/1024
再问： =是+没错
再答：我怀疑题目有误注意看题！

2/1+4/1+8/1+16/1+32/1……+1024/1= 1+1+2+4+8+16+32+64+128+256+512+1024+2048+4096=? 1/2+1/4+1/8+1/16+1/32……+1/1024 1.1/2+1/4+1/8+1/16+1/32+1/64+……+1/512+1/1024= 1/4+1/8+1/16+1/32+……+1/1024=? 1-1/2-1/4-1/8-1/16-1/32-1/64……-1/1024 1-1/2+1/4-1/8+1/16-1/32+1/64-1/128+1/256-1/512+1/1024-1/2048 1+2+4+8+16+32+64+128+256+512+1024+2048+4096+8192+16384+32768 1+2+4+8+16+32+64+128+256+512+1024+2048+4096+8192+.+99999 1,2,4,8,16,32,64,128,256,512,1024,2048,4096,8192,16384,32768 计算：1/2+1/4+1/8+1/16+………+1/1024 有没有什么公式例如“1+1=2,2+2=4,4+4=8,8+8=16,1024+1024=2048…”等计算下去