1. **Stating the problem:** Victoria creates a sequence of tiles and wants to find the rule that relates the entry number to the number of tiles used.
2. **Understanding the options:**
- Option A: Number of tiles = entry number \( \times \) entry number, i.e., number of tiles = $n^2$.
- Option B: Number of tiles = entry number + entry number, i.e., number of tiles = $2n$.
- Option C: No rule is used.
- Option D: Number of tiles = 1 for all entries.
3. **Analyzing the options:**
- If the number of tiles grows as $n^2$, the sequence is quadratic.
- If the number of tiles grows as $2n$, the sequence is linear with slope 2.
- If the number of tiles is always 1, the sequence is constant.
- If no rule is used, the sequence is random.
4. **Conclusion:** Since Victoria made a table showing the relationship, she must be using a rule. Without the actual table values, the most common simple rules are options A or B.
5. **Final answer:** Based on typical sequences, the most reasonable rule is option B: the number of tiles is equal to the entry number plus itself, i.e., number of tiles = $2n$.
Therefore, Victoria uses rule B.
Sequence Rule
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