My boyfriend has been accusing me of cheating. Is this a sign that he’s cheating on me?

My boyfriend has been accusing me of cheating on him he accused me of sleeping with my neighbor because he knocked on my door to use my charger he was locked out of his apartment and had to call his girlfriend our other neighbors do not speak English and I also told him I wanted to go to the gym and get a trainer and he told me trainers only want to sleep with there clients and he can help me work out himself and if I go to the gym he would break up with me he just recently started saying these things I never Cheated on him Is this a sign that he's cheating on me?
My boyfriend has been accusing me of cheating. Is this a sign that he’s cheating on me?
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