Final answer:
The theory of motivation mentioned is the Self-Determination Theory, known for its focus on the three innate needs of competence, autonomy, and relatedness, which collectively influence personal growth and well-being.
Step-by-step explanation:
The theory of motivation that asserts that people are driven to try to grow and attain fulfillment, with their behavior and well-being influenced by the three innate needs of competence, autonomy, and relatedness, is known as the Self-Determination Theory (B). This motivational theory emphasizes the importance of these three psychological needs, which are believed to foster higher quality motivation and psychological well-being. For example, competence relates to our need to feel efficacious and capable; autonomy refers to the feeling of being in control of our own behaviors and goals; and relatedness speaks to the desire to feel connected to others. Self-efficacy, as theorized by Albert Bandura, is also an important aspect of motivation, but is not the same as the Self-Determination Theory. This belief in our own capability is also a driving force behind our actions, similar to the needs proposed by Maslow's Hierarchy of Needs, which span from basic physiological needs to the pinnacle of self-actualization.