query: Finding a bound on a sequence defined as ratios of the Fibonacci sequence
positive_passages.docid: 19804
positive_passages.text: How to prove that $|w_{n+1}-w_n| \leq (2/3)^2 |w_n - w_{n-1}|$?
negative_passages.docid: 71391
negative_passages.text: Find the limit of given sequence
negative_passages.docid: 90652
negative_passages.text: How long does a sequence need to be to be guaranteed to have a monotonic subsequence length k?
negative_passages.docid: 90007
negative_passages.text: Limit of Ratio of Adjacent Fibonacci numbers $\to \phi$
negative_passages.docid: 60405
negative_passages.text: Showing a recursive sequence isn't bounded $a_{n+1}=a_n+\frac 1 {a_n}$
negative_passages.docid: 28552
negative_passages.text: Calculate the limit of two interrelated sequences?
negative_passages.docid: 44622
negative_passages.text: If $F_n$ is the Fibonacci sequence, show that $F_n < \left(\frac 74\right)^n$ for $n\geq 1.$
negative_passages.docid: 143424
negative_passages.text: Sequence problem involving inequalities
negative_passages.docid: 70301
negative_passages.text: $\sin(n)$ subsequence limits set
negative_passages.docid: 57043
negative_passages.text: Fibonacci Sequence Generator
negative_passages.docid: 119891
negative_passages.text: Divisibility and the Fibonacci sequence
negative_passages.docid: 34960
negative_passages.text: Lower bound for $\phi(n)$: Is $n/5  1$?
negative_passages.docid: 132358
negative_passages.text: Is the sequence $a_{n+1}=a_n-\frac{1}{a_n}$, $a_0=2$ bounded?
negative_passages.docid: 50827
negative_passages.text: How to write the Fibonacci Sequence?
negative_passages.docid: 88907
negative_passages.text: Solving Fibonaccis Term Using Golden Ratio ConvergEnce
negative_passages.docid: 139356
negative_passages.text: How to find the limit of a sequence?
negative_passages.docid: 141895
negative_passages.text: Proving that a sequence is monotone