已知一列数a1,a2,a3,…,a7满足a1/a2=a2/a3=…=a5/a6=a6/a7,且a1=8,a7=5832,
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已知一列数a1,a2,a3,…,a7满足a1/a2=a2/a3=…=a5/a6=a6/a7,且a1=8,a7=5832,则a6=
![已知一列数a1,a2,a3,…,a7满足a1/a2=a2/a3=…=a5/a6=a6/a7,且a1=8,a7=5832,](/uploads/image/z/2484977-41-7.jpg?t=%E5%B7%B2%E7%9F%A5%E4%B8%80%E5%88%97%E6%95%B0a1%2Ca2%2Ca3%2C%E2%80%A6%2Ca7%E6%BB%A1%E8%B6%B3a1%2Fa2%3Da2%2Fa3%3D%E2%80%A6%3Da5%2Fa6%3Da6%2Fa7%2C%E4%B8%94a1%3D8%2Ca7%3D5832%2C)
设a1/a2=a2/a3=…=a5/a6=a6/a7=k,则(a1/a2)*(a2/a3)*…*(a5/a6)*(a6/a7)=a1/a7=1/729=1/3的6次方=k的6次方.
所以k=1/3,
又a6/a7=1/3,所以a6=5832/3=1944.
所以k=1/3,
又a6/a7=1/3,所以a6=5832/3=1944.
已知一列数a1,a2,a3,…,a7满足a1/a2=a2/a3=…=a5/a6=a6/a7,且a1=8,a7=5832,
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