Final answer:
The correct word to complete the sentence about Sweyn's invasion is 'assumed,' meaning he took on the role of king.
Step-by-step explanation:
The correct answer to the fill-in-the-blank question is 'assumed.' In a historical context, to 'assume the crown' means to take on the role and authority of a monarch. The sentence describes Sweyn's invasion and subsequent acquisition of the English throne, similar to other historical invasions where a monarch or conqueror replaced the reigning king or queen and assumed power. Examples of this include William of Normandy's conquest over Harold Godwinson and the Glorious Revolution, where William of Orange replaced James II. Such events demonstrate the recurring theme of military conquest leading to changes in monarchy, often justified by the victors as having divine support.