thus
As a result; for this reason.
Thus means “in this way” or “therefore.” When you use thus, you're showing how one thing leads to another or explaining the result of something that just happened.
If you practice piano every day, thus improving your skills, the word connects your practice to getting better. A scientist might write, “The experiment failed three times, thus proving our theory was wrong.” The word shows how the failures led to a conclusion.
Thus has a formal, serious tone. You're more likely to see it in books, essays, or careful explanations than in casual conversation. Instead of saying “I studied hard, thus I got an A,” most people would say “I studied hard, so I got an A” or “I studied hard and got an A.” But thus adds a sense of logic and inevitability, like the second thing naturally follows from the first.
You might also see thus meaning “in this manner,” as in: “Hold the brush thus” (while demonstrating how to hold it). Here it means “like this” or “in this particular way.”
The word appears often in formal writing because it helps writers show clear cause-and-effect relationships between ideas.