Final answer:
The connection between 'A Brief Account of the Destruction of the Indies' and historical patterns is the recurrent exploitation and mistreatment of indigenous peoples by colonizers, exemplified by the destruction of native cultures, enslavement, and resource exploitation.
Step-by-step explanation:
The statement that reflects a connection between Bartolomé de Las Casas's A Brief Account of the Destruction of the Indies and a recurring pattern in history is the exploitation and mistreatment of indigenous populations by colonizing powers seeking to expand their wealth and territory. This pattern includes the destruction of native cultures, enslavement, and the exploitation of natural resources, which are practices that have been seen in various epochs, including the European colonial period, as well as in other colonial and imperialist endeavors throughout history.
The ambition and avarice described by de Las Casas led to the decimation of indigenous populations, a trend that resulted in a legacy of violence and exploitation in the Americas. The enslavement and importation of Africans to work on plantations after the indigenous population decreased is an example of how these patterns of behavior have manifested and led to long-term impacts on societies.