4.71. Let n E Z. Prove that 5 n if and only if 5 n. 4.72. Prove that if a, b and c are nonzero integers such that a b, bc and ca, then at least two of a,b and c are equal. 4.73. Prove that if n is an odd integer, then 8 [n² + (n + 6)2 +6.
4.71. Let n E Z. Prove that 5 n if and only if 5 n. 4.72. Prove that if a, b and c are nonzero integers such that a b, bc and ca, then at least two of a,b and c are equal. 4.73. Prove that if n is an odd integer, then 8 [n² + (n + 6)2 +6.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4.72
![4.71. Let n e Z. Prove that 5|n² if and only if 5 n.
4.72. Prove that if a, b and c are nonzero integers such that a b, b|c and ca, then at least two of a,b and c are equal.
4.73. Prove that if n is an odd integer, then 8||n2 + (n
4.74. Prove that if n is an odd integer, then 8 (n* + 4n2 +11).
+6)² + 6].
4.75. Let n m E 7 Provo that if m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f06012a-e325-4b8c-994f-2545320b883e%2F4f7907a5-7a32-45b0-944e-296fe9c80b54%2Fst4xg89_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4.71. Let n e Z. Prove that 5|n² if and only if 5 n.
4.72. Prove that if a, b and c are nonzero integers such that a b, b|c and ca, then at least two of a,b and c are equal.
4.73. Prove that if n is an odd integer, then 8||n2 + (n
4.74. Prove that if n is an odd integer, then 8 (n* + 4n2 +11).
+6)² + 6].
4.75. Let n m E 7 Provo that if m
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