Question

prove that every positive integer can be written as a finite sum of distinct integral powers of the golden ratio.

Answer 1

z1 =........=zm = 0 and n=m because n0 cannot be expressed in the +ve Phi / golden ratio form.

What is golden ratio?

important is that the ratio between each succeeding pair of Fibonacci numbers approaches 1.618, or its inverse, 0.618, as the numbers get bigger. The holy proportion, the golden ratio, and the golden mean are some additional names for this proportion. Then why is this number so important? The fact that so many items in nature have dimensions characteristics that conform to the 1.618 ratio suggests that it plays a fundamental role for the components of nature. Due to its visual appeal compared to other proportions, the golden ratio is frequently used in the arts. The Great Pyramid in Giza, the Mona Lisa by Da Vinci, and the Parthenon in Athens are all.

z1 =........=zm = 0 and n=m

z1 =........=zm = 0 and n=m because n0 cannot be expressed in the +ve Phi / golden ratio form.

To know more about golden ratio visit ::-

brainly.com/question/2263789

#SPJ4