A sequence is defined by $a_0 = \frac{1}{2}$ and $a_n = 1 + (a_{n - 1} - 1)^2.$  Compute
\[a_0 a_1 a_2 \dotsm.\]
Question:
A sequence is defined by $a_0 = \frac{1}{2}$ and $a_n = 1 + (a_{n - 1} - 1)^2.$  Compute
\[a_0 a_1 a_2 \dotsm.\]
Answer:
Let's think step by step.

user
\frac{2}{3}
A sequence is defined by $a_0 = \frac{1}{2}$ and $a_n = 1 + (a_{n - 1} - 1)^2.$  Compute
\[a_0 a_1 a_2 \dotsm.\]
train