The given sequence is: 10, 17, 24, ...

Let's first determine if this sequence is arithmetic. In an arithmetic sequence, the difference between consecutive terms is constant.

1. Difference between 17 and 10:  
   \( 17 - 10 = 7 \)

2. Difference between 24 and 17:  
   \( 24 - 17 = 7 \)

Since the common difference is \( 7 \), this is an arithmetic sequence.

To find the 10th term, we'll use the formula for the \( n \)-th term of an arithmetic sequence:

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

Where:
- \( a_n \) is the \( n \)-th term,
- \( a_1 = 10 \) (the first term),
- \( d = 7 \) (the common difference),
- \( n = 10 \) (since we want the 10th term).

Now substitute the values into the formula:

\[
a_{10} = 10 + (10 - 1) \cdot 7
\]
\[
a_{10} = 10 + 9 \cdot 7
\]
\[
a_{10} = 10 + 63 = 73
\]

Thus, the 10th term is **73**.

Would you like more details or have any questions? Here are some related questions to consider:

1. What is the formula for the sum of the first \( n \) terms of an arithmetic sequence?
2. Can we express the general form of an arithmetic sequence?
3. How do geometric sequences differ from arithmetic sequences?
4. What happens if we change the common difference to another value?
5. How can we find the \( n \)-th term of a geometric sequence?

**Tip:** Always verify if a sequence is arithmetic or geometric by checking the difference or ratio between consecutive terms.

Discover how to find the 10th term of the arithmetic sequence starting with 10, 17, 24 using the arithmetic sequence formula. This step-by-step guide is ideal for students in Grades 6-8, focusing on key algebraic concepts and sequence formulas.

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