Generate a random number sequence puzzle from 57 guess-the-next-term challenges -- solve it, then reveal the answer and the rule.
This generator deals 57 guess-the-next-term puzzles across five difficulty shelves -- from warm-up skip-counting through the classics (Fibonacci, primes, squares) to genuinely tricky rules, digit tricks, and lateral-thinking sequences where the answer isn't a number at all. The next term and the rule stay hidden behind a Show answer button.
Every result here is drawn using crypto.getRandomValues() -- the Web Crypto API's cryptographically secure randomness -- instead of Math.random(), so it's genuinely unpredictable, not just statistically random. Learn more.
Warm up a math class, run a puzzle round at trivia night, sharpen pattern-recognition for aptitude tests and interviews (sequence questions are a staple), or battle a friend -- same sequence, first correct rule wins. The Wordplay shelf catches people who thought they were safe.
Generate draws one sequence at random using the site's cryptographically secure randomness, never repeating the puzzle currently shown in single-result mode. Solve it, then press Show answer for the next term and the rule. The Difficulty filter picks your shelf, and drawing several at once builds an instant worksheet.
A sample of what this generator can draw, spread evenly across the full list:
Press the Show answer button beneath the sequence -- it reveals the next term and explains the rule. Each new draw hides it again, so you always get a chance to solve first.
Arithmetic and geometric progressions, the famous ones (Fibonacci, primes, triangular numbers, factorials), growing-difference and interleaved tricks, digit-based rules, and lateral puzzles like O, T, T, F, F -- where the pattern isn't arithmetic at all.
Same species -- number-series questions on aptitude and IQ tests use exactly these rule types. The Tricky and Squares & Digits shelves are the closest match to what those tests actually ask.
Equation · Percentage Problem · Math Operation · Probability Problem