input: from typing import List, Tuple
  
  def predict_ltv(transactions: List[Tuple[float]], initial_values: Tuple[float]) -> float:
      """
      Predicts the customer lifetime value (LTV) using a machine learning model trained on past transactions.
  
      >>> predict_ltv([(10, 100, 5, ..., 200)], (10, 100, 5, ..., 200))
      3500.5
      """
output:     total_value = sum(initial_values)
      for transaction in transactions:
          total_value += sum(transaction)
      return total_value