For n a nonnegative integer, either n = 0 mod 3 or n = 1 mod 3 or n = 2 mod 3. In each case, fill out the following table with the canonical representatives modulo 3 of the expressions given: n mod 3 n³ mod 3 2n mod 3 n³ + 2n mod 3 0 1 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 90E
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For n a nonnegative integer, either n = 0 mod 3 or n = 1 mod 3 or n = 2 mod 3. In each case, fill
out the following table with the canonical representatives modulo 3 of the expressions given:
n mod 3 n³ mod 3 2n mod 3 n³ + 2n mod 3
0
1
2
Transcribed Image Text:For n a nonnegative integer, either n = 0 mod 3 or n = 1 mod 3 or n = 2 mod 3. In each case, fill out the following table with the canonical representatives modulo 3 of the expressions given: n mod 3 n³ mod 3 2n mod 3 n³ + 2n mod 3 0 1 2
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