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OlympiadBench / 2282 / For some real numbers m and n, the list 3n²,m²,2(n+1)²…

Problem

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

answer type

Numerical

is multiple answer

true

language

English

question

For some real numbers

m

and

n

, the list

3 n^{2}, m^{2}, 2(n+1)^{2}

consists of three consecutive integers written in increasing order. Determine all possible values of

m

Plain-text mathematical notation (without MathML)

For some real numbers m and n, the list 3n²,m²,2(n+1)² consists of three consecutive integers written in increasing order. Determine all possible values of m.

Original LaTeX notation

For some real numbers $m$ and $n$, the list $3 n^{2}, m^{2}, 2(n+1)^{2}$ consists of three consecutive integers written in increasing order. Determine all possible values of $m$.

question type

Open-ended

subject

Math

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Source and history

upstream_id / Original problem ID: 2282
task_id: 3ba0b427-fadf-5d41-85f6-3072c715a4be
task_key: OE~5fTO~5fmaths~5fen~5fCOMP--train--2282
task_revision_id: 1
config / split: OE_TO_maths_en_COMP / train

Official source

initial import