Jul 29, 2015 · If you have N stairs and can take 1 or 2 of them at each of your steps, the number of different ways to climb to the top is the N-th number in the Fibonacci sequence.

Mar 6, 2017 · I was just wondering what were the main/important uses of the Fibonacci sequence as well as any other generalized Fibonacci sequences in real life applications.

Jan 6, 2025 · My question is apparently very simple: Is there any natural application of the so called tribonacci sequence, namely the generalization of the fibonacci sequence with the only difference …

Nov 29, 2013 · What is the most motivating way to introduce continued fractions? Are there any real life applications of continued fractions?

Dec 16, 2020 · Of the examples I mentioned above, the fibonacci sequence grows (exponentially), eventually periodic sequences are bounded, and the sequence $s_k=k$ also grows, just less quickly …

Aug 30, 2014 · I recently stumbled across an unexpected relationship between the prime numbers and the Fibonacci sequence. We know a lot about Fibonacci numbers but relatively little about primes, so …

Apr 13, 2011 · So, my question is, are there any important properties of these sequences that are worth learning? Do these sequences have real-world applications or reflections like the original Fibonacci …

Aug 30, 2016 · Pascal's triangle has wide applications in Mathematics.I have seen that the most important applications relate to the binomial coefficients and combinatorics. Are there some other …

Jul 29, 2014 · Is there another sequence that can be used in this argument? Is there another way of arranging geometric shapes to get these spirals, or some combination of both? Or is the spiral …

Jul 23, 2021 · A sequence verifying a linear induction relation with constant coefficients, is a sequence for which the current term is a linear combination of its predecessors.