Final answer:
The correct answer is D. "As a result" is used to indicate the consequence or outcome of a certain action or event. In this case, Jerry not completing his chores resulted in him not being allowed to go to the pool.
Example: As a result of forgetting his homework, Mark received a zero on his assignment.
Step-by-step explanation:
The correct answer to the question is D. As a result. The sentence should read: As a result of failing to complete his chores, Jerry was not allowed to go to the pool. This is because 'as a result' is used to show the consequence or outcome of something that happened. In this case, Jerry not completing his chores led to him not being allowed to go to the pool. The words 'then', 'eventually', and 'however' do not correctly fit in this context, as they do not adequately convey causality.