To find the 10th term of the arithmetic sequence $-4, -6, -8, \dots$, we'll use the formula for the $n$th term of an arithmetic sequence:

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

Step 1: Identify the first term ($a_1$) and the common difference ($d$)

• The first term, $a_1$, is $-4$.
• The common difference, $d$, is found by subtracting the first term from the second term:

$d = -6 - (-4) = -6 + 4 = -2$

Step 2: Apply the formula to find the 10th term ($a_{10}$)

Substitute $a_1 = -4$, $d = -2$, and $n = 10$ into the formula:

$a_{10} = -4 + (10 - 1) \cdot (-2)$

$a_{10} = -4 + 9 \cdot (-2)$

$a_{10} = -4 - 18$

$a_{10} = -22$

So, the 10th term of the sequence is $-22$.

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Related Questions:

1. What is the general formula for the $n$th term of any arithmetic sequence?
2. How do you find the common difference if you're given any two terms in a sequence?
3. What is the sum of the first 10 terms of this sequence?
4. How can you determine if a sequence is arithmetic or geometric?
5. Can an arithmetic sequence have a positive common difference?

Tip: The common difference in an arithmetic sequence can be positive or negative, affecting whether the sequence increases or decreases.