Number Patterns
Spot the rule behind each sequence with a free, browser-based logic game. Arithmetic, geometric, square, and Fibonacci patterns included.
Logic & PuzzlesDoubling Sequences
Arithmetic sequences add; geometric sequences multiply. Below: how to spot the difference in one look, and why the ratio stays constant while the gaps grow.
Choose your difficulty
Pick a level to start playing. You can switch at any time.
How to play
Work out the multiplying factor, then tap the next term.
Tip: your progress and best score are saved in this browser only.
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Logic & PuzzlesWhat you are actually practicing
There are two ways a sequence can grow. It can add a fixed amount — 2, 5, 8, 11 — or it can multiply by a fixed amount — 2, 4, 8, 16. Both look similar in the first three terms, and telling them apart is the whole skill.
Multiplication sequences are the ones people misread, because the gaps grow and the eye reads growth as "adding more".
How the game works
You are shown four or five numbers and four candidates. Pick the next term. A wrong pick reveals it immediately.
Easy doubles only. Medium mixes doubling and tripling. Hard uses five terms, so there is one more chance to lose the ratio.
The relationships worth knowing
Doubling: 1, 2, 4, 8, 16 → 32.
Tripling: 2, 6, 18, 54 → 162.
Multiplying by four: 1, 4, 16, 64 → 256.
Strategies that actually raise your score
Divide, do not subtract. Take the second term and divide it by the first. 4 ÷ 2 = 2 means the ratio is two, whatever the gaps look like.
Confirm with another pair. 8 ÷ 4 = 2 and 16 ÷ 8 = 2. Two confirmations is enough; three is a luxury.
Never use the last gap. The gap between 8 and 16 is 8 — it is the product, not the rule. Adding it gives 24, which is the most common wrong answer on screen.
Estimate the size first. If the terms are already in the hundreds, the answer must be several times bigger, not a few units bigger. That alone rejects the "add the last gap" option.