Five Pattern Types to Try in Sequence Puzzles
A short guide to testing sequences, including differences, ratios, alternation, and positions.
Start with the simplest operation
For a number sequence, compare neighboring terms. If the gap is constant, addition or subtraction may be the rule. For example, 3, 6, 9, 12 adds three each time. If the gaps grow, write the gaps down and see whether they have a pattern of their own.
Check multiplication and division
A sequence such as 2, 4, 8, 16 doubles at every step. A descending sequence may divide instead. Testing ratios is particularly useful when the numbers rise rapidly or fall toward one.
Look for alternating tracks
Not every term has to follow the immediately previous term. Red, blue, red, blue is a simple example. A trickier number puzzle might put one increasing sequence in odd positions and another in even positions. Read every other item to test that idea.
Try cumulative rules
Some sequences build from earlier terms. In 1, 1, 2, 3, 5, each new number is the sum of the previous two. Check whether the last few terms can be produced from the ones before them.
For letters, use alphabet positions
A, C, F, J jumps forward by two, then three, then four places. The next jump is five, leading to O. When a sequence uses letters, converting them to positions can make the hidden arithmetic visible. In Pattern Breaker, each answer reveal explains the intended rule so you can compare your reasoning with ours.