Final answer:
The literary term used in the sentence is 'motivate', which is an example of figurative language.
Step-by-step explanation:
The literary term used in the sentence 'You'll learn to work together, to trust and motivate each other, and to believe in yourself' is motivate, which is an example of figurative language. Figurative language refers to the use of words or phrases in a way that is different from their literal or normal meaning. In this case, the word 'motivate' is being used to convey the idea of encouraging or inspiring someone.