Here are the answers to the questions shown in the image:

1. A sequence in which consecutive terms have a common difference is an arithmetic sequence.

2. A sequence is finite if its domain is a set of positive integers {1, 2, 3, 4, 5, ..., n} which has a last term, $n$.

3. The number $d$ in $a_n = a_1 + (n - 1)d$ is called the common difference of any two consecutive terms in an arithmetic sequence.

4. The sum, $S_n$, of the arithmetic sequence with first term, $a_1$, and nth term, $a_n$, is given by $S_n = \frac{n}{2}(a_1 + a_n)$.

5. The nth term, $a_n$, of an arithmetic sequence with first term, $a_1$, and common difference, $d$, is given by $a_n = a_1 + (n - 1)d$.

Would you like more detailed explanations for these formulas or concepts?

Here are 5 related questions to further your understanding:

1. How is the formula for the sum of an arithmetic sequence derived?
2. What is the difference between arithmetic and geometric sequences?
3. Can an arithmetic sequence have a negative common difference?
4. How would you find the sum of a sequence if only the first and common difference are given?
5. How does the common difference influence the behavior of an arithmetic sequence?

Tip: In an arithmetic sequence, the common difference remains constant, meaning each term increases or decreases by the same amount compared to the previous term.