Input-Output Tables

A rule connects input numbers to output numbers:

Rule: Multiply by 3, then add 2. So input 4 → $4 \times 3 + 2 = 14$

Features of Patterns

• Patterns can be increasing (going up) or decreasing (going down)
• The same rule always gives the same result
• Patterns help us predict what comes next

Even and Odd Patterns

• Even + Even = Even: $4 + 6 = 10$
• Odd + Odd = Even: $3 + 5 = 8$
• Even + Odd = Odd: $4 + 3 = 7$

Challenge: What rule makes this pattern? 1, 1, 2, 3, 5, 8, 13, ... (Answer: Add the two previous numbers — this is the Fibonacci sequence!)