数学试题讲解

已知数列

{a_{n}}

满足

a_{1} = 1, a_{n + 1} = a_{n} - \frac{1}{3} a_{n}^{2} (n \in N^{*})

, 则

2 < 100 a_{100} < \frac{5}{2}

\frac{5}{2} < 100 a_{100} < 3

3 < 100 a_{100} < \frac{7}{2}

\frac{7}{2} < 100 a_{100} < 4