Show that every nonzero integer can be uniquely represented in the form ekkk + ek-13k-1 + ⋯ + e13 + e0 where ej = −1, 0, or 1 for j = 0,1,2,...,k and ek ≠ 0 . This expansion is called a balanced ternary expansion

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 55RE
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Show that every nonzero integer can be uniquely represented in the form ekkk + ek-13k-1 + ⋯ + e13 + e0 where ej = −1, 0, or 1 for j = 0,1,2,...,k and ek ≠ 0 . This expansion is called a balanced ternary expansion.

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