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

question 42

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.
- $$2 \text { is a factor of } n ^ { 2 } - n + 2$$

---

Definitions:

Sleep Deprivation

The condition of not having enough sleep, which can lead to a range of psychological and physical problems, including impaired judgment, mood swings, and reduced cognitive performance.

Memory

The cognitive process that involves encoding, storing, and retrieving information.

Stimulants

Substances that increase nervous system activity, resulting in enhanced alertness, attention, and energy, which can include drugs like caffeine, nicotine, and amphetamines.

Consciousness

The ability to understand and contemplate one's own reality, feelings, mental processes, setting, and personal experiences.