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For each positive integer n, define an = ((2+√3)" + (2-√3)") 2 It is known that an is a positive integer for each n. Find the remainder when a2023 is divided by 4. (A) 0 (C) 2 (D) 3 (B) 1

For each positive integer n, define an = ((2+√3)" + (2-√3)") 2 It is known that an is a positive integer for each n. Find the remainder when a2023 is divided by 4. (A) 0 (C) 2 (D) 3 (B) 1

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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For each positive integer n, define an = 1/2 (C₂ (2 + √3)² + (2 − √3)”). - It is known that an is a positive integer for each n. Find the remainder when a2023 is divided by 4. (A) 0 (B) 1 (C) 2 (D) 3
Transcribed Image Text:For each positive integer n, define an = 1/2 (C₂ (2 + √3)² + (2 − √3)”). - It is known that an is a positive integer for each n. Find the remainder when a2023 is divided by 4. (A) 0 (B) 1 (C) 2 (D) 3
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