benchmarks.wiki / Public workspace
Omni-MATH / Let x_n=binom{2n}{n} for all n∈Z^(+). Prove there exist infinitely many finite sets A,B of positive integers, satisfying A∩B=∅, and …
Problem
Answer published by the source. Consult the official source to check your work against its answer.
problem
Let
$x_n=\binom{2n}{n}$ for all . Prove there exist infinitely many finite sets of positive integers, satisfying , and \[\frac{{\prod\limits_{i \in A} {{x_i}} }}{{\prod\limits_{j\in B}{{x_j}} }}=2012.\]Plain-text mathematical notation (without MathML)
Let $x_n=\binom{2n}{n}$ for all n∈Z^(+). Prove there exist infinitely many finite sets A,B of positive integers, satisfying A∩B=∅, and \[\frac{{\prod\limits_{i \in A} {{x_i}} }}{{\prod\limits_{j\in B}{{x_j}} }}=2012.\]Original LaTeX notation
Let $x_n=\binom{2n}{n}$ for all $n\in\mathbb{Z}^+$. Prove there exist infinitely many finite sets $A,B$ of positive integers, satisfying $A \cap B = \emptyset $, and \[\frac{{\prod\limits_{i \in A} {{x_i}} }}{{\prod\limits_{j\in B}{{x_j}} }}=2012.\]Discussion
No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.
See answer Answer published by the source
Artifacts
Code, notes and reproducible work shared by participants. Files are served from a separate origin.
No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.
Source and history
initial import