Can the Fibonacci sequence be written as an explicit rule? Ask Question Asked 10 years, 7 months ago Modified 8 years, 10 months ago

In general, finding explicit formulae for sequences is a combination of luck, experience, intuition, application of some known facts about sequences and a lot of work.

Mar 16, 2026 · Now, if the recurrence condition is changed to $a_ {n+1}=3\sqrt {S_n}+1$, I tried the same methods and they are no longer applicable. Is there an explicit general ...

Jan 20, 2024 · Find explicit formula for generating function Ask Question Asked 2 years, 2 months ago Modified 2 years, 2 months ago

Apr 26, 2020 · How did they derive the explicit formula for this problem? Or more generally, how do you derive the explicit formula for a recursively-defined sequence? I understand that this probably …

Dec 7, 2022 · Here's how to ask a good question. Follow these guidelines to get help in this forum. It's particularly important that you share your own work and thoughts on the problem to show that you …

Aug 6, 2018 · I recall learning in school how to convert arithmetic and geometric sequence formulas between recursive and explicit, but I don't remember learning a systematic method to approach it. …

May 18, 2023 · So how is Riemann's explicit formulae any better than those other formulae we already have, and if it isn't, why is the Riemann Hypothesis touted as having profound implications for our …

Convert a recursive sequence formula to explicit Ask Question Asked 11 years, 10 months ago Modified 2 years, 11 months ago

Nov 10, 2015 · For each series, find an explicit formula for the sequence of partial sums and determine if the series converges. (a) $\sum_ {n=1}^ {∞} 1/2^ {n}$ (b) $\sum_ {n=1 ...