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.)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
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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 = 3º, 6 = 3² – 3', and 87 = 3ª + 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.
%3D
%3D
(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 = 3º, 6 = 3² – 3', and 87 = 3ª + 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. %3D %3D (Remember: Your solution must show appropriate work or reasoning.)
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