The sequence $1, 4, 7, 10, \ldots$ is an arithmetic sequence.

Explanation:

• Arithmetic Sequence: A sequence where the difference between consecutive terms is constant.

In this sequence:

• The first term ($a_1$) is 1.
• The common difference ($d$) is $4 - 1 = 3$.

To find the next two terms:

• The 5th term: $10 + 3 = 13$
• The 6th term: $13 + 3 = 16$

So the next two terms are 13 and 16.

Would you like more details or have any questions?

Here are some related questions to consider:

1. How do you find the nth term of an arithmetic sequence?
2. What is the formula for the sum of the first n terms in an arithmetic sequence?
3. Can an arithmetic sequence have a common difference of 0? If so, what would it look like?
4. How do arithmetic sequences differ from geometric sequences?
5. What are some real-world examples where arithmetic sequences are applied?

Tip: In an arithmetic sequence, if you know the first term and the common difference, you can easily find any term in the sequence using the formula $a_n = a_1 + (n-1) \times d$.