已知数列an满足a1=3,nan=(n+1)a(n+1)←这是下标,求通项an
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已知数列an满足a1=3,nan=(n+1)a(n+1)←这是下标,求通项an
nan=(n+1)a(n+1)
则:a(n+1)/an=n/(n+1)
则:an/(an-1)=(n-1)/n
垒乘得:an/a1=1/n
得:an=3/n
祝你开心!希望能帮到你,如果不懂,请追问,祝学习进步!O(∩_∩)O
再问: 请问这步怎么得来的?a(n+1)/an=n/(n+1)请写下具体步骤
再答: nan=(n+1)a(n+1) 则:n=(n+1)a(n+1)/an 即:n/(n+1)=a(n+1)/an 也就是:a(n+1)/an=n/(n+1)
则:a(n+1)/an=n/(n+1)
则:an/(an-1)=(n-1)/n
垒乘得:an/a1=1/n
得:an=3/n
祝你开心!希望能帮到你,如果不懂,请追问,祝学习进步!O(∩_∩)O
再问: 请问这步怎么得来的?a(n+1)/an=n/(n+1)请写下具体步骤
再答: nan=(n+1)a(n+1) 则:n=(n+1)a(n+1)/an 即:n/(n+1)=a(n+1)/an 也就是:a(n+1)/an=n/(n+1)
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