已知等差数列{an}的公差和等比数列{bn}的公比都是d(d≠1),且a1=b1,a3=3b3,a5=5b5,求a1和d的值
d大于0
人气:162 ℃ 时间:2019-10-11 17:04:22
解答
an为等差数列,易知a5-a3=a3-a1=2d所以5b1*d^4-3b1*d^2=3b1*d^2-b1若b1=0,则可知a1=0,d=0若b1不等于0则5d^4-6d^2+1=0因为d不等于1,所以d=-1或者d=√5/5或者d=-√5/5当d=-1的时候,易求a1=-1...
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