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Answer the following question. Each positive integer can be written as a sum or difference of distinct integer powers of 3 in only one way. For example, 1 = 3°, 6 = 32 – 31, and 87 = 34 + 32 – 31. Note that 6 = 31 + 31 is not valid since the powers of 3 used are not distinct. Write 2021 as a sum or difference of distinct integer powers of 3. (Remember: Your solution must show appropriate work or reasoning.)

Answer the following question. Each positive integer can be written as a sum or difference of distinct integer powers of 3 in only one way. For example, 1 = 3°, 6 = 32 – 31, and 87 = 34 + 32 – 31. Note that 6 = 31 + 31 is not valid since the powers of 3 used are not distinct. Write 2021 as a sum or difference of distinct integer powers of 3. (Remember: Your solution must show appropriate work or reasoning.)

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**Answer the following question.** Each positive integer can be written as a sum or difference of distinct integer powers of 3 in only one way. For example, 1 = \(3^0\), 6 = \(3^2 - 3^1\), and 87 = \(3^4 + 3^2 - 3^1\). Note that 6 = \(3^1 + 3^1\) is not valid since the powers of 3 used are not distinct. Write 2021 as a sum or difference of distinct integer powers of 3. (Remember: Your solution must show appropriate work or reasoning.)
Transcribed Image Text:**Answer the following question.** Each positive integer can be written as a sum or difference of distinct integer powers of 3 in only one way. For example, 1 = \(3^0\), 6 = \(3^2 - 3^1\), and 87 = \(3^4 + 3^2 - 3^1\). Note that 6 = \(3^1 + 3^1\) is not valid since the powers of 3 used are not distinct. Write 2021 as a sum or difference of distinct integer powers of 3. (Remember: Your solution must show appropriate work or reasoning.)
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