Final answer:
The statement is false. Slavery in Roman society undermined the need for technological progress and innovation, leading to the destruction of the environment.
Step-by-step explanation:
The statement that the Roman government was swift to implement new technological advances to improve efficiency and agricultural production, which accelerated the destruction of the environment, is false. In fact, the use of slave labor in Roman society undermined the need for technological progress and innovation, as slaves were readily available for agricultural work. Slavery also led to the loss of social status for free Roman citizens, particularly farmers. Additionally, the growth of slavery and external threats contributed to Rome's political and environmental decline.