What kinds of number sequences appear in trading assessments?

Arithmetic and geometric progressions, growing or higher-order differences, alternating and interleaved series, and recursive rules like Fibonacci. The skill is inferring the rule from a few terms and predicting the next one quickly.

How do I get faster at number-sequence questions?

Practise a wide variety so the common structures become recognisable on sight, and get into the habit of testing a candidate rule against every given term before committing. Timed reps build the speed assessments demand.

Assessment simulatorPremium

Number Sequences Test Practice

Spot the rule and predict the next term — the pattern test firms pair with mental math.

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Free account required to play; this simulator is a Premium feature.

Alongside the mental-math test, firms like Optiver use a number-sequences assessment: you're shown a run of numbers and must infer the rule and give the next term. It rewards fast pattern recognition — arithmetic and geometric progressions, growing differences, alternating and interleaved patterns, and recursive rules.

The Sequences simulator draws from a wide library of pattern types and validates each series so there's a single defensible answer. Working many varied sequences under a timer trains you to test hypotheses quickly and recognise the common structures on sight.

What it's modelled on

Optiver's number-sequences assessment

Optiver's numerical stage is widely reported to pair the mental-math blitz with a number-sequences test — infer the rule from a run of numbers and give the next term. This simulator recreates that pattern-recognition round.

Optiver

What it trains

Recognising arithmetic, geometric, and higher-order difference patterns
Alternating, interleaved, and recursive (Fibonacci-style) sequences
Forming and testing a rule quickly under time pressure

How it's scored

You type the next term and submit; the server checks it. Sequences is a Premium simulator with configurable length and difficulty so you can scale from foundations to hard patterns.

Frequently asked questions

What kinds of number sequences appear in trading assessments?: Arithmetic and geometric progressions, growing or higher-order differences, alternating and interleaved series, and recursive rules like Fibonacci. The skill is inferring the rule from a few terms and predicting the next one quickly.
How do I get faster at number-sequence questions?: Practise a wide variety so the common structures become recognisable on sight, and get into the habit of testing a candidate rule against every given term before committing. Timed reps build the speed assessments demand.