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2. TRUE or FALSE. If it is false, then give a counterexample, and explain it. If true, then prove/explain. "If each term in a non-constant geometric sequence is multiplied by a non-zero constant k, then the resulting sequence is also geometric."

2. TRUE or FALSE. If it is false, then give a counterexample, and explain it. If true, then prove/explain. "If each term in a non-constant geometric sequence is multiplied by a non-zero constant k, then the resulting sequence is also geometric."

Advanced Engineering Mathematics
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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12. TRUE or FALSE. If it is false, then give a counterexample, and explain it. If true, then prove/explain. "If each term in a non-constant geometric sequence is multiplied by a non-zero constant k, then the resulting sequence is also geometric."
Transcribed Image Text:12. TRUE or FALSE. If it is false, then give a counterexample, and explain it. If true, then prove/explain. "If each term in a non-constant geometric sequence is multiplied by a non-zero constant k, then the resulting sequence is also geometric."
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