Final answer:
The statement is false. King George III of Great Britain refused to accept the terms proposed by American leaders during the American Revolutionary War.
Step-by-step explanation:
The statement in the question is false. King George III of Great Britain refused to accept the terms proposed by American leaders during the American Revolutionary War. The American colonists had made demands for their rights and representation, but the King and his government rejected those demands, leading to the escalation of tensions and eventually the war.