Article
Expressing Numbers in terms of Golden, Silver and Bronze Ratios
Authors
Abstract
The idea of expressing certain kind of numbers as linear combination of special class of numbers has always been an interesting exercise in mathematics. In this paper, I present an interesting way to write a given natural number as sum or difference of integral powers of golden ratio, silver ratio and bronze ratio. Suitable illustrations enabling the process are briefed in the paper.
Keywords
Recurrence Relation, Golden Ratio, Silver Ratio, Bronze Ratio, Mathematical Induction
Citation
Sivaraman, R. (2021). Expressing numbers in terms of golden, silver and bronze ratios. Turkish Journal of Computer and Mathematics Education, 12(2), 2876–2880.
R. Sivaraman, “Expressing numbers in terms of golden, silver and bronze ratios,” Turkish Journal of Computer and Mathematics Education, vol. 12, no. 2, pp. 2876–2880, 2021.
Sivaraman R. Expressing numbers in terms of golden, silver and bronze ratios. Turkish Journal of Computer and Mathematics Education. 2021;12(2):2876–2880.
Sivaraman, R. (2021), ‘Expressing numbers in terms of golden, silver and bronze ratios’, Turkish Journal of Computer and Mathematics Education, 12(2), pp. 2876–2880.
Sivaraman, R. “Expressing Numbers in Terms of Golden, Silver and Bronze Ratios.” Turkish Journal of Computer and Mathematics Education, vol. 12, no. 2, 2021, pp. 2876–2880.
Sivaraman, R. “Expressing Numbers in Terms of Golden, Silver and Bronze Ratios.” Turkish Journal of Computer and Mathematics Education 12, no. 2 (2021): 2876–2880.
Export citation
Published by: Engineering Journals
