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1/2+1/4+1/8+1/31+1/62+1/124+1/248+1/496=
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1/2+1/4+1/8+1/31+1/62+1/124+1/248+1/496=
▼优质解答
答案和解析
原式=1/2+1/4+1/8+1/31+1/(31*2)+1/(31*4)+1/(31*8)+1/496
=1/2*(1+1/31)+1/4*(1+1/31)+1/8*(1+1/31)+1/31+1/496
=1/2*(32/31)+1/4*(32/31)+1/8*(32/31)+1/31+1/496
=16/31+8/31+4/31+1/31+1/496
=(16+8+4+1)/31+1/496
=29/31+1/496
=29*16/31*16+1/31*16
=(29*16+1)/496
=(30*16-15)/496
=465/496
=1/2*(1+1/31)+1/4*(1+1/31)+1/8*(1+1/31)+1/31+1/496
=1/2*(32/31)+1/4*(32/31)+1/8*(32/31)+1/31+1/496
=16/31+8/31+4/31+1/31+1/496
=(16+8+4+1)/31+1/496
=29/31+1/496
=29*16/31*16+1/31*16
=(29*16+1)/496
=(30*16-15)/496
=465/496
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