common difference

[ˈkɒmən ˈdɪfrəns]
nounpl: common differences
razão da progressão aritmética
1. In mathematics, the constant difference between consecutive terms in an arithmetic sequence or arithmetic progression
In the sequence 2, 5, 8, 11, the common difference is 3.
Na sequência 2, 5, 8, 11, a razão da progressão aritmética é 3.
2. The value obtained by subtracting any term from the next consecutive term in an arithmetic progression
To find the common difference, subtract the first term from the second term.
Para encontrar a razão, subtraia o primeiro termo do segundo termo.
This is a fundamental concept in mathematics education taught in secondary schools in both Brazil and the United States. The term is used consistently in academic and educational contexts across both countries, with no significant cultural variation in usage.
Synonyms / Sinônimos
common ratio (in geometric sequences)arithmetic differenceconstant difference

Regional Variations

General Brazilian
razão da progressão aritmética
Standard mathematical terminology used in Brazilian education and textbooks
São Paulo
razão
Often shortened to just 'razão' in casual mathematical discussion
Portugal
razão da progressão aritmética
Same terminology as Brazilian Portuguese, standard in Portuguese mathematics education

Related Words

arithmetic sequencearithmetic progressiontermsequenceprogressionratio
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