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
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ISBN:9780470458365
Author:Erwin Kreyszig
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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
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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