Gaokao Math Practice Question
已知数列 $\left\{a_{n}\right\}$ 满足 $a_{1}=1, a_{n+1}=a_{n}-\frac{1}{3} a_{n}^{2}\left(n \in \mathbf{N}^{*}\right)$, 则 ($\qquad$)
- A.$2<100 a_{100}<\frac{5}{2}$
- B.$\frac{5}{2}<100 a_{100}<3$
- C.$3<100 a_{100}<\frac{7}{2}$
- D.$\frac{7}{2}<100 a_{100}<4$
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