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2/2+3/4+4/8+5/16+---+11/1024今晚就要晕哦,急死了
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2/2+3/4+4/8+5/16+---+11/1024 今晚就要
晕哦,急死了
晕哦,急死了
▼优质解答
答案和解析
2/2+3/22+4/23+5/24+6/25+7/26+8/27+9/28+10/29+11/210
=1+1/22(3+4/2+5/22+6/23+7/24+8/25+9/26+10/27+11/28)
=1+1/4(5+1/4(5+6/2+7/22+8/23+9/24+10/25+11/26)
=1+1/4(5+1/4(8+1/4(7+8/2+9/22+10/23+11/24)
=1+1/4(5+1/4(8+1/4(11+1/4(9+10/2+11/22)
=1+1/4(5+1/4(8+1/4(11+1/4(14+11/4)
=1+5/4+1/16(8+11/4+1/16(14+11/4)
=1+5/4++1/2+11/64+14/256+11/1024
=3595/1024
=1+1/22(3+4/2+5/22+6/23+7/24+8/25+9/26+10/27+11/28)
=1+1/4(5+1/4(5+6/2+7/22+8/23+9/24+10/25+11/26)
=1+1/4(5+1/4(8+1/4(7+8/2+9/22+10/23+11/24)
=1+1/4(5+1/4(8+1/4(11+1/4(9+10/2+11/22)
=1+1/4(5+1/4(8+1/4(11+1/4(14+11/4)
=1+5/4+1/16(8+11/4+1/16(14+11/4)
=1+5/4++1/2+11/64+14/256+11/1024
=3595/1024
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