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数列an是等差数列,bn是等比数列,满足b1=a1^2,b2=a2^2,b3=a3^2,求数列bn公比q
人气:396 ℃ 时间:2019-10-20 20:18:44
解答
设an公差是d,因为b1*b3=(b2)^2所以a1^2*(a1+2d)^2=[(a1+d)^2]^2(a1^2+2a1d)^2[(a1+d)^2]^2=0[a1^2+2a1d+(a1+d)^2][a1^2+2a1d-(a1+d)^2]=0所以a1^2+2a1d+(a1+d)^2=0,或a1^2+2a1d-(a1+d)^2=0若a1^2+2a1d-(a1+d)^2=0,则...
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