solution: The term $x$ is simply the average of $3^2 = 9$ and $3^4 = 81$, which is $(9 + 81)/2 = 90/2 = \boxed{45}$.
prompt.content: <|im_start|>system
  You are a helpful assistant.<|im_end|>
  <|im_start|>user
  What is the integer value of $x$ in the arithmetic sequence $3^2, x, 3^4$?
  Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
  <|im_start|>assistant
  
prompt.role: user
extra_info.answer: 45
extra_info.question: What is the integer value of $x$ in the arithmetic sequence $3^2, x, 3^4$?
extra_info.split: test