1024+512+256+.+2+1+2/1+4/1+8/1+.512/1+1024/1

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/12 21:05:27
1024+512+256+.+2+1+2/1+4/1+8/1+.512/1+1024/1
xJ@_cC3;ӭćP  =4`HĴ $DhIOأ=36Lcl`H < (bjSH1q3WgWc]=Uz5.Ͽ^WI4&(l&7VӼ/wɶ)ZMy/_"FOؚmFl{ǖ+fX ZJc=-i`;%%Cw"GOq r8p

1024+512+256+.+2+1+2/1+4/1+8/1+.512/1+1024/1
1024+512+256+.+2+1+2/1+4/1+8/1+.512/1+1024/1

1024+512+256+.+2+1+2/1+4/1+8/1+.512/1+1024/1
1、显然是等比数列的和:Sn=a1(1-q^n)/(1-q) (q不等于0)
2、这题有错误吧?应该是1024+512+256+.+2+1+1/2+1/4+1/8+.1/512+1/1024
=2^-10*(1-2^21)/(1-2)≈2048
3、原题=2*(2^10+2^9+...+2^1)+2^0=2*(2*(1-2^10)/(1-2))+1=4093