If there seems to be no reasonable explanation, you are right to question whether the teacher is hiding something. As lamentable as it may be, there have been cases where music teachers have molested their students. Even so, I'd drop in and insist on staying every so often. Recitals and Competitions You already may have spoken to the teacher during the telephone and studio visit stage and found out about these activities. If not, ask now.
Most teachers have at least one recital per year.
Many have several recitals. Competitions generally are optional activities, but there is wide variation here, with some teachers requiring certain competitions for all students and letting the rest of them be optional. Some teachers do not participate in competitions at all. Joining a teacher's studio is sort of like joining someone's family. Emotional ties will be strong.