Form 14: Pattern Recognition in Functions Exercise

Form 14: Pattern Recognition in Functions

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Form 14: Pattern Recognition in Functions

Use pattern recognition to distinguish linear functions from non-linear ones. Analyze sequence rules, tables, and algebraic expressions to detect underlying functional behavior.

Questions

  1. MultiChoice

    A pattern adds 4 tiles to a design for each step. What type of pattern is this?

  2. MultiChoice

    A sequence of square border tiles requires 1, 4, 9, 16 tiles for side lengths 1, 2, 3, 4. This pattern is:

  3. MultiChoice

    Which rule for step n represents a linear pattern?

  4. MultiChoice

    Number of dots in triangles (1, 3, 6, 10, 15) represents what kind of function?

  5. MultiChoice

    Perimeter of a regular hexagon vs side length (P = 6s) represents a:

  6. MultiChoice

    Area of a circle vs radius (A = pi * r^2) represents a:

  7. MultiChoice

    Sequence 5, 8, 11, 14, 17 represents what type of function?

  8. MultiChoice

    Sequence 2, 4, 8, 16, 32 represents what type of function?

  9. MultiChoice

    A pattern subtracts 5 units at each step. This relationship is a:

  10. MultiChoice

    Volume of a cube as a function of edge length s is:

  11. MultiChoice

    Which sequence formula describes a linear growth pattern?

  12. MultiChoice

    How do repeated addition and repeated multiplication compare in pattern types?