Prove the Following Statement: the Sum of Any Two Consecutive

question 5

Essay

Prove the following statement: The sum of any two consecutive integers can be written in the form 4n + 1 for some integer n.

---

Definitions:

Absolute Phrasing

The use of words that express total certainty or extremes, without acknowledging nuance or exceptions.

Optimal Timing

The identification of the most appropriate or effective time to perform an action to achieve the best results.

Helping Relationship

A therapeutic or supportive interaction that aims to facilitate growth, healing, or assistance.

Insight

The capacity to gain an accurate and deep intuitive understanding of a person or situation.