等差数列{an}与等比数列{bn}满足:a1=b1>0,a5=b5,则a3与b3的大小关系为:
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等差数列{an}与等比数列{bn}满足:a1=b1>0,a5=b5,则a3与b3的大小关系为:
等差数列{an}与等比数列{bn}满足:a1=b1>0,a5=b5,则a3与b3的大小关系为:
等差数列{an}与等比数列{bn}满足:a1=b1>0,a5=b5,则a3与b3的大小关系为:
b5=b1×q⁴>0
所以a1>0,b1>0,a5>0,b5>0
因为{an}是等差数列,所以a3+a3=a1+a5,a3=(a1+a5)/2
因为{bn}是等比数列,所以b3×b3=b1×b5,b3=根号(b1b5)=根号(a1a5)
由均值不等式得(a1+a5)/2≥根号(a1a5)
所以a3≥b3
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