Write the Word or Phrase That Best Completes Each Statement $$2 \text { is a factor of } n ^ { 2 } - n + 2$$

Essay

Write the word or phrase that best completes each statement or answers the question. Use mathematical induction to prove that the statement is true for every positive integer n.
- $$2 \text { is a factor of } n ^ { 2 } - n + 2$$