To find the eighth term of an arithmetic sequence, we need to identify the common difference ($d$) and use the formula for the $n$-th term of an arithmetic sequence, which is given by:

$a_n = a_1 + (n-1)d$

Where:

• $a_n$ is the $n$-th term
• $a_1$ is the first term
• $d$ is the common difference
• $n$ is the term number

First, let's determine the common difference ($d$):

$d = a_2 - a_1 = 10 - 3 = 7$

The first term ($a_1$) is 3. We need to find the eighth term ($a_8$):

$a_8 = a_1 + (8-1)d$ $a_8 = 3 + (7 \cdot 7)$ $a_8 = 3 + 49$ $a_8 = 52$

Thus, the eighth term of the arithmetic sequence is 52.

Would you like more details or have any questions?

Here are 5 more questions for you to ask:

1. How do you find the sum of the first $n$ terms in an arithmetic sequence?
2. What is the formula for the $n$-th term of a geometric sequence?
3. How do you determine the common ratio in a geometric sequence?
4. What is the difference between an arithmetic and a geometric sequence?
5. How do you solve a system of linear equations?

Tip: Always double-check your calculations, especially when dealing with sequences and series, to ensure accuracy.