The rule provided for the sequence is to add 6 to the position $n$. We can use this rule to find the first three terms of the sequence.

1. For $n = 1$: $n + 6 = 1 + 6 = 7$

2. For $n = 2$: $n + 6 = 2 + 6 = 8$

3. For $n = 3$: $n + 6 = 3 + 6 = 9$

So, the first three terms of the sequence are 7, 8, and 9.

Would you like further details on how to generate terms in sequences, or have any questions about this?

Here are some related questions you might explore:

1. How would you find the 10th term in this sequence?
2. What happens if we change the rule to add 5 instead of 6 to the position?
3. How can we represent this sequence with a general formula?
4. What are other examples of position-to-term rules for sequences?
5. How can you determine if a sequence is arithmetic or geometric?

Tip: To check if a sequence is arithmetic, see if there's a constant difference between consecutive terms.