Feb 28, 2020 · Yet another example from this question is this recursive sequence: which has the following closed form formula: So, my question is, how does one come up with these …

Finding a closed-form formula for a sequence that is defined recursively Ask Question Asked 11 years ago Modified 5 years, 11 months ago

Jan 8, 2024 · 0 I am working on a recursive sequence and wondering if it's possible to convert it into a non-recursive form. The sequence is defined as follows: $$ a_n = a_ {n-1} \times (n + 1) …

Explore related questions sequences-and-series recursive-algorithms closed-form See similar questions with these tags.

Nov 29, 2024 · I'm pretty sure that means that if the sequence does converge, it must converge to $1$, but "I'm pretty sure" isn't much of a proof. I don't see any way to find an explicit form for …

Nov 11, 2017 · Unfortunately I am quite confused here because of the recursive definition. Question: How can I show show that the sequences converges and how can I find a limit value?

I proved that the sequence is made up from a monotonically increasing sequence and a monotonically decreasing sequence, and I proved that the limits of the difference of these …

Apr 9, 2019 · The various solutions here suggest & show how to use the linear homogeneous recursive algorithm to solve an+2 = 4an+1 − 3an (1) (1) a n + 2 = 4 a n + 1 3 a n This is …

Apr 16, 2017 · The generation of such a sequence is a requirement in the definition. Here is an example of a recurrence relation: $$ a_1 = 1$$ $$ a_n = na_ {n-1}$$ So in short. Recurrent is …

How to find the limit of recursive sequence? Ask Question Asked 12 years, 2 months ago Modified 6 years, 1 month ago