We are given the sequence: $-60, -49, -38, \cdots$. To find the sixth term, we need to first determine the pattern in the sequence.

Step 1: Find the common difference

Let's calculate the difference between consecutive terms: $-49 - (-60) = -49 + 60 = 11$ $-38 - (-49) = -38 + 49 = 11$ The common difference between consecutive terms is $11$.

Step 2: Use the common difference to find the next terms

The sequence is arithmetic, with a common difference of $11$. To find the sixth term, we will continue adding $11$ to each term.

1. Fourth term: $-38 + 11 = -27$
2. Fifth term: $-27 + 11 = -16$
3. Sixth term: $-16 + 11 = -5$

Conclusion:

The sixth term of the sequence is $-5$.

Would you like to explore how to generalize this to find any term in an arithmetic sequence?

Here are some related questions:

1. How do you find the $n$-th term of an arithmetic sequence?
2. What is the sum of the first $n$ terms of an arithmetic sequence?
3. How can you determine if a sequence is arithmetic or geometric?
4. What are examples of arithmetic sequences in real-world scenarios?
5. How can you solve for the common difference when it is not given directly?

Tip: The formula for the $n$-th term of an arithmetic sequence is $a_n = a_1 + (n-1)d$, where $a_1$ is the first term and $d$ is the common difference.