Final answer:
The sentence 'The brown cat is on the stove.' is in the indicative mood, which is used to state facts or ask questions.
Step-by-step explanation:
The verb mood in the sentence 'The brown cat is on the stove.' is the indicative mood. This mood is used to state facts, opinions, or to ask questions. The given sentence is stating a fact, which is that the brown cat is currently situated on the stove. It is simply reporting what is happening, with no command or wishful thinking implied. Examples of the indicative mood include making a statement like 'Thousands of women currently serve in the military' or asking a question such as 'Have you submitted your request for time off?'