5. A perfect cube is an integer x such that there exists an integer y and x = y³. Prove that the sum of 3 consecutive perfect cubes is divisible by 9. I

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 46E
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5. A perfect cube is an integer x such that there exists an integer y and x = y³. Prove
that the sum of 3 consecutive perfect cubes is divisible by 9.
en to sesinimoaan
svizudoni e of 0 mon rodiny
Transcribed Image Text:5. A perfect cube is an integer x such that there exists an integer y and x = y³. Prove that the sum of 3 consecutive perfect cubes is divisible by 9. en to sesinimoaan svizudoni e of 0 mon rodiny
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