Geometric Sequence

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Find the rule (×2 or ×3), set the missing stone with the − / + buttons, then press Check

3D math game · Best for grades 4-6

Geometric Sequence

Geometric Sequence gives students a row of numbered stones where every term is obtained by multiplying the previous one by a fixed ratio — ×2, ×3, or similar. Identifying that constant multiplier and using it to fill the missing stone is the defining skill of this grade 4–6 game.

What students practice

Recognising and applying a constant multiplicative ratio is the foundation of geometric sequences, exponential growth patterns, and percentage calculations. Geometric Sequence builds this fluency before students meet the formal algebra of exponents in grades 4–6.

  1. Read the visible numbers and divide any term by the one before it to find the common ratio.
  2. Confirm the ratio holds for every adjacent pair — it must be the same throughout.
  3. Use the − / + buttons (or drag the stone) to set the missing value.
  4. Press Check to see whether the ratio is consistent across the whole sequence.

How to use it at home or in class

A sequence shows 2, 6, 18, ?, 162. Each term is multiplied by 3, so the missing value is 54. The key insight is that dividing any two consecutive terms (18 ÷ 6 = 3) reveals the rule — this game trains that division-as-ratio move.

Students often try to add a constant difference rather than finding the multiplier, because additive thinking is easier. Geometric Sequence makes the multiplier the only thing that works, forcing students to switch from additive to multiplicative reasoning.

Use it for individual practice, paired work, or a short class demonstration before worksheets.

Start with the game above, then continue with written practice to reinforce the skill.

Common questions

Why does the game use division to find the rule rather than just reading a ×2 or ×3 label?
Deriving the ratio by dividing consecutive terms — rather than being told it — trains the algebraic habit of extracting a rule from data. That reasoning transfers directly to tables, graphs, and later exponential work.
Which grades is Geometric Sequence for?
It targets grades 4–6, where students are fluent in multiplication and ready to see that the same operation applied repeatedly creates exponential growth.
How is Geometric Sequence different from Number Sequence?
Geometric Sequence uses only multiplicative rules (constant ratio); Number Sequence includes additive patterns too. Geometric Sequence is the harder, more focused version of the same idea.