1、3/4+3/8+3/16+3/12+3/128+3/256+3/512=?
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1、3/4+3/8+3/16+3/12+3/128+3/256+3/512=?
2、11/12+23/24+47/48+95/96+191/192+383/384=?
2、11/12+23/24+47/48+95/96+191/192+383/384=?
1.答案是857/512
思路是把它凑成等比数列,然后用求和公式求解,然后再化简.
2.原式=1-(1/12)+1-(1/24)+1-(1/48)+1-(1/96)+1-(1/192)+1-(1/384)
=6--(1/12)-(1/24)-(1/48)-(1/96)-(1/192)-(1/384)
=6-63/384(等比数列求和公式)
=2241/384
思路是把它凑成等比数列,然后用求和公式求解,然后再化简.
2.原式=1-(1/12)+1-(1/24)+1-(1/48)+1-(1/96)+1-(1/192)+1-(1/384)
=6--(1/12)-(1/24)-(1/48)-(1/96)-(1/192)-(1/384)
=6-63/384(等比数列求和公式)
=2241/384
1/2+3/4+7/8+15/16+31/32+63/64+127/128+255/256+511/512+1024/1
1/2+3/4+7/8+15/16+31/32+63/34+127/128+255/256+511/512+1023/1
2/3+4/5+8/9+16/17+32/33+64/65+128/129+256/257+512/513=?
1/2+3/4+7/8+15/16+31/32+63/64+127/128+255/256+511/512如何计算
计算:1/2+3/4+7/8+15/16+31/32+63/34+127/128+255/256+511/512+102
1=1,2=2,3=4,4=8,5=16,6=32,7=64,8=128,9=256,10=512,11=1024,12
计算2/8+3/8+7/16+15/32+31/64+63/128+127/256+255/512+511/1024=?
2/8+3/8+7/16+15/32+31/64+63/128+127/256+255/512+511/1024=()
数奥题 1/2+2/4+3/8+4/16+5/32+6/64+7/128+8/256+9/512+10/1024 的简便
1/2+2/4+3/8+4/16+5/32+6/64+7/128+8/256+9/512+10/1024 +11/204
2/1+4/2+8/3+16/4+32/5+64/6+128/7+256/8
计算:1/2+3/4+7/8+15/16+31/32+63/64+127/128+255/256+511/512【要计算