1+2+4+8+16+32+·····+1024=?简便计算

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1+2+4+8+16+32+·····+1024=?简便计算
1+2+4+8+16+32+·····+1024=?简便计算

1+2+4+8+16+32+·····+1024=?简便计算
1+2+4+8+16+32+·····+1024
=1024×2—1
=2047

1+2+4+8+16+32+·····+1024
=2*1024-1
=2047

此数列是等比数列q=2,a1=1,a11=1024则有：
Sn=a1*(1-q^n)/(1-q)=1-2048=2047

1+2+4+8+16+32+·····+1024
=1024×2-1
=2047

该式是以1为首项，2为公比的等比数列，项数为11
求和公式： Sn=a1(1-q^n)/(1-q) =(a1-an×q)/(1-q) (q≠1)
原式=1（1-2^11）/(1-2)=2047

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