benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / Let a₀,a₁,… be a sequence such that a₀=3,a₁=2, and a_(n+2)=a_(n+1)+a_(n) for all n≥0. Find ∑_(n=0)⁸(a_(n))/(a_(n+1)a_(n+2))

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Let a0,a1,…a_{0}, a_{1}, \ldots be a sequence such that a0=3,a1=2a_{0}=3, a_{1}=2, and an+2=an+1+ana_{n+2}=a_{n+1}+a_{n} for all n≥0n \geq 0. Find ∑n=08anan+1an+2\sum_{n=0}^{8} \frac{a_{n}}{a_{n+1} a_{n+2}}
Plain-text mathematical notation (without MathML)
Let a₀,a₁,… be a sequence such that a₀=3,a₁=2, and a_(n+2)=a_(n+1)+a_(n) for all n≥0. Find ∑_(n=0)⁸(a_(n))/(a_(n+1)a_(n+2))
Original LaTeX notation
Let $a_{0}, a_{1}, \ldots$ be a sequence such that $a_{0}=3, a_{1}=2$, and $a_{n+2}=a_{n+1}+a_{n}$ for all $n \geq 0$. Find $\sum_{n=0}^{8} \frac{a_{n}}{a_{n+1} a_{n+2}}$

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. 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. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
773555de-d528-5e22-92a9-c97c45ad0887
task_key
test--773555de-d528-5e22-92a9-c97c45ad0887
task_revision_id
1
config / split
/ test

Official source

initial import