求和:1/2+1/4+1/8+1/16+1/32+1/64+.+1/1024=?
人气:330 ℃ 时间:2020-06-23 16:49:18
解答
这个是以1/2为公比的等比数列
1/2+1/4+1/8+1/16+1/32+1/64+.+1/1024
=1/2+1/4+1/8+1/16+1/32+1/64+.+1/2^10
=(1/2)(1-(1/2)^10)/(1/2)=1023/1024
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