To find the 22nd term ($a_{22}$) of the arithmetic sequence, we can use the formula for the nth term of an arithmetic sequence:

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

Here:

• $a_1 = -17$ (the first term),
• $d = 4$ (the common difference), and
• $n = 22$ (the term number we want to find).

Now, substitute the given values into the formula:

$a_{22} = -17 + (22 - 1) \times 4$

Simplify the expression:

$a_{22} = -17 + 21 \times 4$

$a_{22} = -17 + 84$

$a_{22} = 67$

So, the 22nd term of the arithmetic sequence is $a_{22} = 67$.

Would you like more details or have any questions?

Here are some related questions:

1. What is the general formula for the nth term in an arithmetic sequence?
2. How do you find the sum of the first n terms in an arithmetic sequence?
3. How do you determine if a sequence is arithmetic?
4. What happens if the common difference $d$ is negative?
5. How can you find the common difference if you're given two non-consecutive terms?
6. What is the 50th term of the same arithmetic sequence?
7. How do you solve for $n$ when given $a_n$, $a_1$, and $d$?
8. How do you derive the formula for the nth term in an arithmetic sequence?

Tip: In an arithmetic sequence, if you know the first term and the common difference, you can easily find any term using the formula for the nth term.