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热心网友 时间:5分钟前
log2(a1)+log2(a2)+...+log2(a10)=55
log2(a1·a2·...·a10)=55
log2[a1^10 ·q^(1+2+...+9)]=55
log2(a1^10 ·q^45)=55
10log2(a1)+45log2(q)=55
10log2(a1)+45log2(1/2)=55
10log2(a1)-45=55
10log2(a1)=100
log2(a1)=10
a1=2^10
a1+a2+...+a10
=a1(1-q^10)/(1-q)
=2^10 ·(1- 1/2^10)/(1-1/2)
=2^11·(1-1/2^10)
=2^11 -2
=2048-2
=2046