Find the next number in a pattern. Arithmetic, geometric, squares, Fibonacci-like.
Number sequences probe your inductive reasoning - extracting a rule from limited examples.
Rules here range from simple arithmetic progressions to polynomials and interleaved patterns.
Speed matters as much as accuracy; the goal is rapid rule identification.
Similar sequences appear on IQ tests, GMAT, and competitive entrance exams.
Inductive reasoning from numerical patterns loads heavily on Gf (fluid intelligence) in psychometric models.
Practice transfers modestly to untrained pattern tasks but reliably improves performance on similar formats.
How fast you can infer a numeric rule and extend it.
Number sequences measure inductive reasoning with numbers: detecting the rule that links the terms, arithmetic, geometric, squares, alternating patterns, or Fibonacci-like growth, and applying it to predict the next value. A strong result reflects rapid hypothesis generation and testing rather than calculation, since the arithmetic itself is usually simple once the rule is found.
Because they tap rule induction rather than learned facts, number series appear in nearly every IQ battery and load heavily on fluid intelligence. This separates them from arithmetic-fluency tasks: the challenge is spotting the hidden structure, not computing quickly, so the work is in the pattern, not the sums.
Run a fixed checklist of rules and eliminate them fast.
Build a mental checklist: first differences, ratios, squares and cubes, alternating two interleaved series, and Fibonacci-style sums. Test them in order rather than staring for inspiration. As you improve, the goal is faster elimination of wrong rules, so practise discarding a hypothesis the moment one term contradicts it.
The frequent mistake is forcing a single rule type, usually simple addition, and ignoring that the gaps themselves form a pattern. Check the sequence of differences when the surface rule fails. Watch too for two interleaved series, a common trick that looks chaotic until you separate the odd and even positions.
Accuracy on harder rule-types matters more than raw speed.
Read accuracy alongside difficulty: clearing simple arithmetic series quickly is expected, while maintaining accuracy on multi-step or interleaved rules is the real signal. Strong solvers identify the rule type fast and rarely misapply it. Track whether you handle harder patterns reliably over time, not just how fast you finish easy ones.
Performance fluctuates with focus and with which rule-types happen to appear, so judge over many items. The score reflects numeric rule induction and improves most on the trained format; it is one facet of reasoning and does not capture verbal or spatial reasoning, which rely on partly different skills.