Skill: Generate a pattern from a rule

A pattern is a list that follows a rule. To generate the pattern, start with the given number and use the rule again and again.

Example: Start with $4$. Add $3$ each time. Write the first five numbers.

1. Start with $4$.
2. Add $3$: $4+3=7$.
3. Add $3$ again: $7+3=10$.
4. Add $3$ again: $10+3=13$.
5. Add $3$ again: $13+3=16$.

So, the pattern is:

$$4,\ 7,\ 10,\ 13,\ 16$$

Check the pattern by comparing neighboring numbers:

• $4$ to $7$: add $3$
• $7$ to $10$: add $3$
• $10$ to $13$: add $3$
• $13$ to $16$: add $3$

Each number follows the rule, so the pattern is correct.