1/2+1/4+1/8+1/16+········+1/256(简便计算)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/24 21:38:54
1/2+1/4+1/8+1/16+········+1/256(简便计算)1/2+1/4+1/8+1/16+········+1/256(简便计算)1/2+1/4+1/8+1/16+········+

1/2+1/4+1/8+1/16+········+1/256(简便计算)
1/2+1/4+1/8+1/16+········+1/256(简便计算)

1/2+1/4+1/8+1/16+········+1/256(简便计算)
令s=1/2+1/4+1/8+1/16+········+1/256
s/2=1/4+1/8+1/16+········+1/256+1/512
s-s/2=1/2-1/512
s/2=255/512
s=255/256
即1/2+1/4+1/8+1/16+········+1/256=255/256

1/2+1/4+1/8+1/16+········+1/256
=1/256*128+1/256*64+1/256*32+1/256*16+········1/256*1
=1/256*(128+64+32+16+········+1)
=1/256*255
=255/256

∵分母都成2的倍数关系,即:2×2=4 4×2=8 8×2=16 16×2=32。。。。。。
∴1/2+1/4+1/8+1/16+········+1/256
=1-1/256
=255/256

-128,64,-32,16,-8,4,-2,1,-½,···第n个数是急需··················· 1/2+1/4+1/8+1/16+······+1/512要方法 8+11+14+17+20+·······+305 数学计算题.呜呜呜1+2+3+4+···················+98+99+100+99+98+···············+3+2+1 1+2+4+8+16+32+·····+1024=?简便计算 1/2+1/4+1/8+1/16+········+1/256(简便计算) 1/2+1/4+1/8+1/16+········+1/256(简便计算) 这几道奥数题谁会,求2014在哪一行那一列 1 2 3 4 5 10 9 8 7 6 11 12 13 14 15 20 19 18 17 16 求2014哪一行那一列 1 2 3 4 5 6 7 8 9 ···· ····· ·························· 急·····(1+1/2)(1+1/2)^2(1+1/2)^4(1+1/2)^8(1+1/2)^16+(1/2)^31具体过程···· 1 2 3 4 ·····7 ·······10 ········?1 3 5 7 ·····?······?··········290 1 4 9 ·····?······?··········? 已知数列1*1/2,2*1/4,3*1/8,4*1/16,···,n*1/2^n,···,求sn 把自然数从1开始,排列成下表:1 2 4 7 11 16······ 3 5 8 12 17······ 6 9 13 18·····把自然数从1开始,排列成下表:1 2 4 7 11 16······3 5 8 12 17······6 9 13 18······10 14 19······15 20·· 1/2+1/4+1/8+1/16+1/32+1/64+1/128······等于几? 求和:-1,2,-4,8,-16,32······512的和是多少? 俗语和名句的填空1······,自知之明.2······,行必果.3工欲善其事,······.4临渊羡鱼,······.5非学无以广才,······.6······,福兮祸之所伏.7项庄舞剑,······.8······,人以群 1,2,4,8,16····,则第2011个数是几 数学题解答1/2+1/4+1/8+1/16+······+1/5121/2+1/4+1/8+1/16+······+1/512 要方法 利用发现的规律简便计算 1/2+1/4=3/4 1/2+1/4+|1/8=7/8 初中数学题d有一列数,按一定规律排列 --1 2 --4 8 --16 32··············那么第2013个数是——______________. 1、1、2、3、5、8、13、()、()、55······1、4、9、16、()、()、49······