Sequences Worksheet/Game

Sequences Worksheet/Game
Welcome to Sequences Worksheet/Game. This game requires you to identify the mathematical pattern in a given sequence and fill in the missing value. The sequences can be Arithmetic Sequences, Geometric Sequences, or Power Sequences. Scroll down the page for a more detailed explanation.

 

 

How to play the Sequences Game

1. Select Your Mode
   On the main menu, choose the type of sequence you want to practice:
   Arithmetic: Numbers increase or decrease by adding/subtracting a constant value.
   Geometric: Numbers increase or decrease by multiplying by a constant ratio.
   Squares & Cubes: Numbers follow the power pattern (n² or n³).
   Mixed Mode: The computer randomly picks one of the above for every round.
   

2. Analyze the Sequence
   Once the game starts, you will see four cards labeled n₁ through n₄. One of these will have a “?”.
   Step 1: Look at the numbers that are visible.
   Step 2: Determine the “Rule."
   If Arithmetic: Subtract n₁ from n₂. Is the difference the same between n₂ and n₃?
   If Geometric: Divide n₂ by n₁. Is the multiplier the same between n₂ and n₃?
   If Powers: Do the numbers look like perfect squares (4, 9, 16…) or cubes (8, 27, 64…)?
   

3. Fill the Gap
   Once you know the rule, calculate the missing number.
   Example (Arithmetic): If you see n₁=5, n₂=12, n₃=?, the rule is +7. The answer is 19.
   Example (Geometric): If you see n₁=3, n₂=6, n₃=?, the rule is times; 2. The answer is 12.
   Example (Powers): If you see n₁=1, n₂=4, n₃=9, n₄=?, the rule is n². The answer is 16.
   

4. Verify
   Submit: Type your answer into the input box and press Enter or click Verify Logic.
   Success: If you are correct, your Streak goes up, and a new sequence is generated automatically.
   Failure: If you are wrong, your Streak resets to 0, and the system shows you a new problem to help you try again.
   

Types of Sequences

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