arytmetycznym

Arytmetyczny is a Polish adjective meaning relating to arithmetic, the branch of mathematics that deals with numbers and the basic operations on them. The form arytmetycznym is the instrumental singular, used with masculine or neuter nouns, for example in phrases like wzorem arytmetycznym or ciągiem arytmetycznym. The plural instrumental form is arytmetycznymi, as in operacjami arytmetycznymi.

The term originates from arytmetyka (arithmetic) and ultimately from Greek arithmētikós, meaning relating to numbers. In mathematical language in Polish, arytmetyczny is used to distinguish arithmetic from other mathematical areas such as algebra, geometry, or calculus. Common examples include ciąg arytmetyczny (arithmetic progression), szereg arytmetyczny (arithmetic series), and operacje arytmetyczne (arithmetic operations).

In usage, arytmetyczny emphasizes the number-based, procedural aspect of mathematics rather than abstract structures. It is regularly employed in educational contexts and technical writing to describe concepts, properties, or methods that pertain to arithmetic. When choosing the appropriate case, the adjective agrees with the noun it modifies, and its instrumental forms appear in phrases indicating means, method, or relation, such as ciągiem arytmetycznym or wzorem arytmetycznym.