Distinguish Arithmetic vs. Geometric Sequences

Practice vocabulary flashcards covering the concepts, definitions, and classification of arithmetic and geometric sequences.

Arithmetic sequence

A sequence of numbers in which the difference between consecutive terms is constant, known as the common difference.

Geometric sequence

A sequence of numbers in which the ratio between consecutive terms is constant, known as the common ratio.

Common difference

The constant value added to each term to obtain the next term in an arithmetic sequence, found by subtracting a preceding term from the following term.

Common ratio

The constant factor multiplied by each term to obtain the next term in a geometric sequence, found by dividing a term by its preceding term.

Sequence $1, 3, 9, \text{\raisebox{0.5ex}{...}}$ classification

A geometric sequence with a common ratio equal to $3$.