1024+512+256+.+2+1+2/1+4/1+8/1+.512/1+1024/1
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![1024+512+256+.+2+1+2/1+4/1+8/1+.512/1+1024/1](/uploads/image/z/643736-56-6.jpg?t=1024%2B512%2B256%2B.%2B2%2B1%2B2%2F1%2B4%2F1%2B8%2F1%2B.512%2F1%2B1024%2F1)
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