1/2+1/8+1/24+.+1/9800

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1/2+1/8+1/24+.+1/9800
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1/2+1/8+1/24+.+1/9800
1/2+1/8+1/24+.+1/9800

1/2+1/8+1/24+.+1/9800
原式=1/2+(1/8+1/24+···+1/9800)
=1/2+1/2*(1/2-1/4+1/4-1/6+···+1/98-1/100)
=1/2+1/2*49/100
=1/2+49/50
=25/50+49/50
=74/50
=37/25
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