For any integer n, n² + 5 is not divisible by 4.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 56E
Question

Discrete Math

Prove this statement

Hint: Given any integer n, consider the two cases where n is even and where n is odd.

**H 37.** For any integer \( n \), \( n^2 + 5 \) is not divisible by 4.
Transcribed Image Text:**H 37.** For any integer \( n \), \( n^2 + 5 \) is not divisible by 4.
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