一列数a₁，a₂，a₃，…，其中a₁= $\frac{1}{2}$ ，a_n= $\frac{1}{1-a_{n-1}}$ （n为不小于2的整数），则a₁₀₀=（　　）

下列等式变形错误的是(   )

    Hi, my name is Li Tong. I'm from a big city. My parents are doctors in a hospital. I'm in Class 1. Mr Mu's class. He is a Chinese teacher. My favourite subject is history. I like reading history books in the library. On Saturday, I play basketball with my friend Su Qi. Fish is my favourite food.

Hello, I'm Su Qi. I'm from the farm near the city. My parents are farmers. I'm in Class 3. Miss Bi's class. She is a maths teacher. English is my favourite subject. I can see a lot of vegetables on the farm. So I like reading the books about vegetables. Noodles are my favourite food.