1/4+1/8+1/16+1/32+……+1/1024=?1又1/1024+2又1/512+4又1/256+……+256又1/4+512又1/2=?2+4+6+……+1000=?求解,只要答案=w=
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![1/4+1/8+1/16+1/32+……+1/1024=?1又1/1024+2又1/512+4又1/256+……+256又1/4+512又1/2=?2+4+6+……+1000=?求解,只要答案=w=](/uploads/image/z/216909-45-9.jpg?t=1%2F4%2B1%2F8%2B1%2F16%2B1%2F32%2B%E2%80%A6%E2%80%A6%2B1%2F1024%3D%3F1%E5%8F%881%2F1024%2B2%E5%8F%881%2F512%2B4%E5%8F%881%2F256%2B%E2%80%A6%E2%80%A6%2B256%E5%8F%881%2F4%2B512%E5%8F%881%2F2%3D%3F2%2B4%2B6%2B%E2%80%A6%E2%80%A6%2B1000%3D%3F%E6%B1%82%E8%A7%A3%2C%E5%8F%AA%E8%A6%81%E7%AD%94%E6%A1%88%3Dw%3D)
1/4+1/8+1/16+1/32+……+1/1024=?1又1/1024+2又1/512+4又1/256+……+256又1/4+512又1/2=?2+4+6+……+1000=?求解,只要答案=w=
1/4+1/8+1/16+1/32+……+1/1024=?
1又1/1024+2又1/512+4又1/256+……+256又1/4+512又1/2=?
2+4+6+……+1000=?
求解,只要答案=w=
1/4+1/8+1/16+1/32+……+1/1024=?1又1/1024+2又1/512+4又1/256+……+256又1/4+512又1/2=?2+4+6+……+1000=?求解,只要答案=w=
1/2+1/4=3/4
1/2+1/4+1/8=7/8
1/2+1/4+1/8+1/16=15/16
……………………………………
1/2+1/4+1/8+1/16+1/32+.+1/1024+1/2048=2047/2048
2+4+6+...1000=(2+1000)+(4+998)+...+(500+502)=250*1002=250500
有问题的话请追问
(1) 511/1024
(2) 1023又1023/1024
(3) 250500
解答过程及答案:
1.
∵1/2+1/4=1-1/4=3/4
1/2+1/4+1/8=1-1/8=7/8
..........................................
∴1/2+1/4+1/8+1/16+1/32+…+1/1024=1-1/1024=1023/1024
∴1/4+1/8+1/16+1/32+…+1/1024
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解答过程及答案:
1.
∵1/2+1/4=1-1/4=3/4
1/2+1/4+1/8=1-1/8=7/8
..........................................
∴1/2+1/4+1/8+1/16+1/32+…+1/1024=1-1/1024=1023/1024
∴1/4+1/8+1/16+1/32+…+1/1024
=1023/1024-1/2
=511/1024
2.
1又1/1024+2又1/512+4又1/256+……+256又1/4+512又1/2
=(1+2+2^2+2^3+...+2^9)+(2^-1+2^-2+...+2^-10)
=2^10-1+1023/1024
=1023又1023/1024
3.
2+4+6+……+1000
=(2+1000)×(998÷2+1)÷2
=1002×500÷2
=250500
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