Patterns

GLOSSARY

Pattern – A repeated or recurring sequence of numbers, shapes, colors, or designs that follow a specific rule or structure.
Visual Pattern – A series of shapes, objects, or images arranged in a repeated and predictable way, often found in art and nature.
Number Sequence – An ordered list of numbers that follow a specific rule. Each number in the list is called a term.
Fibonacci Sequence – A sequence of numbers where each term is the sum of the two preceding terms, starting with 0 and 1 (or 1 and 1 in some versions).
Pattern Rule – The method or operation used to move from one term to the next in a pattern. It can be expressed in words, a formula, or an equation.

Michelangelo's The Creation of Adam follows the Golden Ratio (approximately 1.618:1).
Repeated circular umbrellas with different colors and designs form a visual pattern.
Vincent van Gogh's The Starry Night shows rhythmic patterns through repeated lines, shapes, textures, and motions.
Plant spirals often form 34 clockwise and 55 counterclockwise, both Fibonacci numbers. This creates a mathematically efficient pattern called phyllotaxis, maximizing space.

Example 1: Each part of the design is obtained by rotating the previous design by 90° clockwise.
→ Missing part is option (b).
Example 2: Each square contains a triangle inscribed in a circle. The triangle in the next circle is a vertical image of the previous one.
→ Missing part is option (a).

Addition Pattern
Sequence: 2, 3, 5, 8, 12, 17, 23, ___
Rule: Each term adds +1, +2, +3, +4, +5, +6, …
Next term = 30

Multiplication Pattern
Sequence: 2, 4, 8, 16, 32, ___
Rule: Each term ×2
Next term = 64

Subtraction Pattern
Sequence: 100, 90, 81, 73, 66, ___
Rule: Subtract 10, then 9, then 8, then 7, then 6
Next term = 60

Division Pattern
Sequence: 256, 128, 64, 32, 16, ___
Rule: Each term ÷2
Next term = 8

Standard Sequence
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, …

Rule
Fₙ = Fₙ₋₁ + Fₙ₋₂
(Fibonacci number = previous number + the one before it)

Rabbit Problem Example