Sequence - Pattern Builder

Make your own sequence

Try positive or negative numbers, or fractions such as −1/2 (type -1/2). 1st term: −1000 to 1000; rule number: −12 to 12; fraction denominators: 1–12. You cannot divide by zero.

Display switches control the diagram below. Your settings remain visible here. Multiplication and division use one consistent grid across all four terms.

Choose your challenge

Choose the term-to-term rule first, then build the missing term. Mixed practice combines questions from both groups.

What is the term-to-term rule?

Your build

Drag +1 onto Your build, or use the buttons. You can cross zero. For a fraction, type an exact value such as -3/2, then choose Set value. Blocks always represent the signed value shown below them.

From one term to the next