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the claim

In an arithmetic progression, the difference between each two consecutive terms is constant.

the verdict
SUPPORTED
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5 sources for · 0 against

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Is it true that in an arithmetic progression, the difference between each two consecutive terms is constant?

Yes. Mathematical definitions and reference sources consistently define an arithmetic progression as a sequence in which the difference between consecutive terms is constant.

Verdict: SUPPORTED · 5 sources for, 0 against · Last checked

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Evidence for · 5
Reference article covering this claim directly
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Wikipedia: Arithmetic progression. (n.d.). Wikipedia. https://en.wikipedia.org/wiki/Arithmetic_progression

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More for · 4
Defines an arithmetic sequence as one where the difference between consecutive terms is constant.
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LibreTexts: LibreTexts: 12.03%3A Arithmetic Sequences. (n.d.). LibreTexts. https://math.libretexts.org/Workbench/Intermediate_Algebra_2e_(OpenStax)/12%3A_Sequences_Series_and_Binomial_Theorem/12.03%3A_Arithmetic_Sequences

States that the difference between consecutive terms in an arithmetic sequence is constant.
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OpenStax: OpenStax Intermediate Algebra: 12.2 Arithmetic Sequences. (n.d.). OpenStax. https://openstax.org/books/intermediate-algebra/pages/beab9aa5-3e76-4e7b-92f5-1eae134e874b@

Defines an arithmetic progression as a sequence where the difference between consecutive terms is constant.
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Wikibooks: Wikibooks: A-level Mathematics/AQA/MPC2. (n.d.). Wikibooks. https://en.wikibooks.org/wiki/A-level_Mathematics/AQA/MPC2

Defines an arithmetic progression as a sequence where the difference between consecutive terms is constant.
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Wikipedia: Wikipedia: List of real analysis topics. (n.d.). Wikipedia. https://en.wikipedia.org/wiki/List_of_real_analysis_topics

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