Logical Sequences Quiz

Pattern recognition is a core component of fluid intelligence and IQ tests. This quiz presents number sequences and asks you to identify the next term.

Types of sequences

Arithmetic: add or subtract a constant (e.g. 2, 5, 8, 11, ...); constant difference
Geometric: multiply by a constant (e.g. 3, 6, 12, 24, ...); constant ratio
Fibonacci-type: each term is the sum of the two preceding ones (e.g. 1, 1, 2, 3, 5, 8, ...)
Squares / cubes: perfect squares (1, 4, 9, 16, ...) or cubes (1, 8, 27, ...)
Mixed / alternating: pattern applies to every other term, or combines two rules

Tips for solving sequences

Calculate differences between consecutive terms, if they are constant, it is arithmetic
Calculate ratios between consecutive terms, if constant, it is geometric
Look for differences of differences, second differences identify quadratic sequences
Check if terms relate to squares, cubes, primes, or factorials

Why train with sequences?

Sequence puzzles train abstract reasoning and fluid intelligence, the ability to solve new problems without relying on prior knowledge. These types of questions appear in psychometric tests, job aptitude assessments, and standardized exams worldwide.