在等差数列{an}及正项等比数列{bn}中,已知a1=b1=1,a3=b3,a7=b5,a15=bm,求m的值{an}和{bn}的通项公式
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人气:190 ℃ 时间:2020-03-25 13:45:52
解答
设等差数列an公差为d,等比数列bn公比为qa1=b1a3=b3 => a1+2d=b3=a1*q^2a7=b5 => a1+6d=b5=a1*q^4b3²=b1*b5 => (a1+2d)²=a1*(a1+6d) =>a1=2d所以b3=a3=4d,b5=a7=8d因为bn是各项为正的等比数列,所以q=√(b5/...
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