1-1/2+1/4-1/8+1/16-1/32+1/64-1/128+1/256-1/512+1/1024-1/2048

来源：学生作业帮编辑：搜搜考试网作业帮分类：数学作业时间：2024/05/02 09:04:58

1-1/2+1/4-1/8+1/16-1/32+1/64-1/128+1/256-1/512+1/1024-1/2048=1-(-1/2)^12/(1+1/2)
=2/3[1-(1/2)^12]
=(2/3)*(4095)4096
=4095/3*2048
=1365/2048
再问：要详解
再答：这是首项为1,公比为-1/2的等比数列前12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+1/1024-1/2048=1-(-1/2)^12/(1+1/2) =2/3[1-(1/2)^12] =(2/3)*(4095)4096 =4095/3*2048 =1365/2048

1+1+2+4+8+16+32+64+128+256+512+1024+2048+4096=? 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 1+2+4+8+16+32+64+128+256+512+1024+2048+4096+.+2^3599最后的结果除以1 1+2+4+8+16+32+64+128+256+512+1024+2048+4096+8192等于几?有什么规律? 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 计算1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+1/1024 1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+1/1024 要解题思路, 1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+1/1024 讲的好懂点 2/1+4/1+8/1+16/1+32/1+64/1+128/1+256/1+512/1+1024/1=?