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[数列] 等差数列求参数范围

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isee posted 2021-10-12 22:15 |Read mode
已知等差数列 $\left\{ a_n \right\}$ 的前 $n$ 项和 \(S_n>0\),且满足 \(S_2\cdot S_3\cdots S_n=n\left(a_2^2-t \right)\left( a_3^2-t \right)\cdots \left( a_n^2-t \right)\),(\(n\ge 2\)且$n\in \mathbb N^*$), 若 \(a_n\le \frac{n+1}2\)($n\in \mathbb N^*$),则实数 $t$ 的取值范围是__(0,1]____.

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original poster isee posted 2021-10-19 23:45
回复 1# isee


这个也是稍有些头,是等差数列硬算的(结果)

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