简算：1/2+1/4+1/8+1/16+1/32+…+1/4096=（）

来源：学生作业帮编辑：大师作文网作业帮分类：数学作业时间：2024/11/11 16:39:16

原式=(1/2+1/4+...+1/2048+1/4096+1/4096)-1/4096=(1/2+1/4+...+1/1024+1/2048+1/2048)-1/4096=(1/2+1/4+...+1/1024+1/1024)-1/4096=...=(1/2+1/2)-1/4096=1-1/4096=4095/4096

1+1+2+4+8+16+32+64+128+256+512+1024+2048+4096=? 1/2+1/4+1/8+1/16+1/32+1/64(简算） 2/1+4/1+8/1+16/1+32/1……+1024/1= 1/2+1/4+1/8+1/16+32/1+1/128没有1/64简算简算1/2-(1/2-1/4)-(1/4-1/8)-(1/8-1/16)-(1/16-1/32)-(1/32-1/64) 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 1/2+1/4+1/8+1/16+1/32(简算) 1/2+1/4+1/8+1/16+1/32简算 1.1/2+1/4+1/8+1/16+1/32+1/64+……+1/512+1/1024= 再问问题(简算)1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256