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If a is an odd number, then a³ is an odd number.

If a is an odd number, then a³ is an odd number.

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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**Mathematical Property of Odd Numbers** This statement explores the properties of odd numbers in relation to their powers: "If \( a \) is an odd number, then \( a^3 \) is an odd number." This principle highlights that when you multiply three instances of an odd number together, the result remains odd. Understanding this property is essential for number theory and helps in broader mathematical problem-solving and proofs.
Transcribed Image Text:**Mathematical Property of Odd Numbers** This statement explores the properties of odd numbers in relation to their powers: "If \( a \) is an odd number, then \( a^3 \) is an odd number." This principle highlights that when you multiply three instances of an odd number together, the result remains odd. Understanding this property is essential for number theory and helps in broader mathematical problem-solving and proofs.
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