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(c) Let a1 = 1 and let a2 = T. For n > 3, we define recursively an = an-2 – an-1. Is it true that a2021 is rational? Prove that your answer is correct. (d) For which natural numbers n is the following statement true? (3 X (n³ + 5n)) (n² is irrational) Justify your answer.

(c) Let a1 = 1 and let a2 = T. For n > 3, we define recursively an = an-2 – an-1. Is it true that a2021 is rational? Prove that your answer is correct. (d) For which natural numbers n is the following statement true? (3 X (n³ + 5n)) (n² is irrational) Justify your answer.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Can you help me with these 2 questions please, Thank you!
(c) Let a1 = 1 and let a2 = T. For n > 3, we define recursively an = an-2 – an-1. Is it true that a2021 is rational? Prove that your answer is correct. (d) For which natural numbers n is the following statement true? (3 X (n³ + 5n)) = (n? is irrational) Justify your answer.
Transcribed Image Text:(c) Let a1 = 1 and let a2 = T. For n > 3, we define recursively an = an-2 – an-1. Is it true that a2021 is rational? Prove that your answer is correct. (d) For which natural numbers n is the following statement true? (3 X (n³ + 5n)) = (n? is irrational) Justify your answer.
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