函数f(x)=x2-2x-3,定义数列{ xn}如下:x1=2,xn+1是过两点P(4,5),Qn( xn,f( xn))的直线PQn与x轴交点的横坐标.(Ⅰ)证明:2≤xn<xn+1<3;(Ⅱ)求数列{ xn}的通项公式.
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/08 14:48:49
![函数f(x)=x2-2x-3,定义数列{ xn}如下:x1=2,xn+1是过两点P(4,5),Qn( xn,f( xn))的直线PQn与x轴交点的横坐标.(Ⅰ)证明:2≤xn<xn+1<3;(Ⅱ)求数列{ xn}的通项公式.](/uploads/image/z/4094503-7-3.jpg?t=%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%3Dx2-2x-3%2C%E5%AE%9A%E4%B9%89%E6%95%B0%E5%88%97%7B+xn%7D%E5%A6%82%E4%B8%8B%EF%BC%9Ax1%3D2%2Cxn%2B1%E6%98%AF%E8%BF%87%E4%B8%A4%E7%82%B9P%EF%BC%884%2C5%EF%BC%89%2CQn%EF%BC%88+xn%2Cf%EF%BC%88+xn%EF%BC%89%EF%BC%89%E7%9A%84%E7%9B%B4%E7%BA%BFPQn%E4%B8%8Ex%E8%BD%B4%E4%BA%A4%E7%82%B9%E7%9A%84%E6%A8%AA%E5%9D%90%E6%A0%87%EF%BC%8E%EF%BC%88%E2%85%A0%EF%BC%89%E8%AF%81%E6%98%8E%EF%BC%9A2%E2%89%A4xn%EF%BC%9Cxn%2B1%EF%BC%9C3%EF%BC%9B%EF%BC%88%E2%85%A1%EF%BC%89%E6%B1%82%E6%95%B0%E5%88%97%7B+xn%7D%E7%9A%84%E9%80%9A%E9%A1%B9%E5%85%AC%E5%BC%8F%EF%BC%8E)
xok@J)Y%Y"^Rui\*E]۹ժnbSXAaiM{${Է/gppw~\^&Ib̂;-"wSpBd\)R
s\i=hxZ`
e\P{/0OWVodSoC;gAZdCͣ}z'Lxt_]F.lZLWk8lgC-drپIf,f\rr\:,jr~d.,["Nq*芮``^y]3YK!Uhaǒ
,h|C**`QkCZY8>""=#"i