1/6+1/12+1/24+``````+1/990简便计算

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1/6+1/12+1/24+``````+1/990简便计算1/6+1/12+1/24+``````+1/990简便计算1/6+1/12+1/24+``````+1/990简便计算an=(1/6)(1

1/6+1/12+1/24+``````+1/990简便计算
1/6+1/12+1/24+``````+1/990简便计算

1/6+1/12+1/24+``````+1/990简便计算
an = (1/6)(1/2)^(n-1)
Sn = a1+a2+...+an
= (1/3)( 1- (1/2)^n )
1/6+1/12+1/24+...+1/990
=S165
=(1/3)( 1- (1/2)^165 )