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.

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Definitions:

Synesthesia

A neurological condition where stimulation of one sensory or cognitive pathway leads to automatic, involuntary experiences in a second sensory or cognitive pathway.

Tinnitus

A condition characterized by hearing noises that are not caused by an external source, often described as ringing in the ears.

Telepathy

The purported transmission of information from one person to another without using any known human sensory channels or physical interaction.

Kinesthesia

The sense of movement, referring to the perception of the body's own movements and position.