On the job you will never complete a number sequence. The skill underneath is what firms are testing: pattern recognition, logical deduction and speed. Flow Traders frames its own sequence test as assessing "pattern recognition and logical reasoning, essential skills for identifying market trends and trading opportunities", which is the honest version of why these tests exist.
Doing well signals mental agility on noisy data, plus raw numerical aptitude, which is why the tests stay popular even though the task itself never recurs.
The patterns that come up
Most sequence questions are built from a handful of pattern types. Recognising which one you are looking at is most of the work.
| Pattern | Rule | Example |
|---|---|---|
| Arithmetic | A constant difference between terms, sometimes with the difference itself changing simply | adding 3 |
| Geometric | A constant multiplier or divisor | doubling |
| Fibonacci and additive | Each term is the sum, or difference, of previous terms | adding the last two |
| Special number series | Squares, cubes, primes, factorials, or an alternation between them | squares |
| Alternating or interwoven | Two or more sequences interleaved into one | where 2, 4, 6 rises and 10, 8, 6 falls |
| Letter sequences | Alphabetical progressions, often clearer once converted to positions (A=1, B=2) | adding 1, then 2, then 3 |
Letters that are not alphabetical
Some letter sequences encode a real-world ordered list rather than an alphabet rule, and they are unsolvable until you spot which:
- Musical notes: from Do, Re, Mi, Fa, So, La, Ti
- Ordinals: from First, Second, Third, Fourth, Fifth, Sixth, Seventh
- Planets: from Mercury through Neptune
Days of the week and months appear the same way. So with any letter sequence, ask two questions in order: is this a simple alphabetical rule, or is it encoding a real-world list? The Flow Traders test mixes letter patterns in with numbers, so both are worth expecting.
Solving them under time pressure
Start with the basics
Take the differences between consecutive terms and look for a constant, then check for a constant ratio. If neither appears, take the differences of the differences, because a second-level pattern often emerges there.
Check for interleaving
If it makes no sense as one progression, read the 1st, 3rd and 5th terms as one sequence and the 2nd, 4th and 6th as another. This is the standard trick in the harder questions.
Consider the known series
Ask whether the numbers belong to something famous. Spotting 120 as 5 factorial, or 2, 3, 5, 7 as primes, is often the entire solution.
Do not overcomplicate
These are built to be solved in under a minute, so they are elegant rather than obscure. If every other number ends in 8 there is a simple reason. The skill is closer to spotting an opportunity quickly than to doing deep mathematics.
Use elimination on multiple choice
The options are information. Ruling out values that are obviously too large or too small often gets you there on a partial read of the pattern.
Manage the clock
Sequence tests are less brutal than mental maths tests, at roughly a minute per question: one firm runs 26 questions in 25 minutes, another 24 in about the same. Do not sink time into one puzzle; skip and return. Note that some assessments penalise wrong answers, in which case skipping genuinely beats guessing, so check the rules before you start.
Stay calm
Panic blocks pattern recognition specifically. If you are stuck, breathe and review the terms systematically, since the pattern very often surfaces on the second pass.
Training for sequence tests
Use the Sequence Trainer
Our Sequence Trainer mirrors real firm tests and is fully configurable: difficulty from easy through hard or mixed, number and letter sequences separately or together, time limits from 1-minute drills to 15-minute sessions, your own question count, and open-ended or multiple choice with a configurable number of options.
Open-ended versus multiple choice
Open-ended is harder and builds genuine pattern recognition, because you get no cues at all and some real tests work this way. Multiple choice is faster and trains elimination. Beginners should start on multiple choice for the scaffolding, then move to open-ended once the basics are solid.
Short sessions, often
3 to 4 times a week for 5 to 15 minutes beats an occasional long grind, and daily is better still. The aim is to make recognition automatic, which comes from steady exposure with rest in between rather than volume in one sitting.
Start simple, then widen
Begin with arithmetic sequences on easy, and only add types once you are scoring well. Geometric and Fibonacci come next, then letters, which add a layer of logic on top of the arithmetic.
Track and target
Use the accuracy and speed trends to find what actually trips you up. If Fibonacci variants are consistently slow, that is where the next few sessions go.
Raise the bar deliberately
Tighten the time limit or lengthen the sets as you improve, and mix pattern types in one session so you never know what is coming, which is how the real test behaves. Aim for about 90 percent accuracy at a level before moving up.
Do full mock tests
Before the real assessment, run full-length mocks at the exact duration you expect. Our realistic test modes mirror the format and scoring of specific firms' sequence tests, so the pacing is familiar on the day. Review every answer afterwards, because the mistakes are the useful part.
Learn from the ones you miss
A sequence you could not crack is worth more than ten you could. Work out the pattern afterwards and add it to your mental library; the next one like it will be instant.
Final thoughts
Sequence tests reward exposure more than talent. Every pattern you work through makes the next one faster to see, and the jump from stumped to instant is mostly a function of how many you have met.
The ability is worth more than the test, too. Pattern recognition on noisy data is the transferable part, which is exactly why firms screen for it.
Work the Sequence Trainer regularly, and when you know where you are applying, our firm pages carry that firm's own sequence test alongside the rest of its process. For how this stage fits into the wider funnel, see our full interview guide.