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The question provided involves an arithmetic sequence (barisan aritmetika), where we are given two terms:

- The 3rd term (\(U_3\)) is \(-5\)
- The 5th term (\(U_5\)) is \(-9\)

We are tasked with determining the 10th term (\(U_{10}\)) of the sequence.

### Solution:

1. **General formula for an arithmetic sequence:**

   The general formula for the \(n\)-th term of an arithmetic sequence is:

   \[
   U_n = a + (n - 1) \cdot d
   \]

   where:
   - \(a\) is the first term of the sequence,
   - \(d\) is the common difference,
   - \(n\) is the term number.

2. **Write the equations for the known terms:**

   Using the general formula for the 3rd and 5th terms:

   \[
   U_3 = a + 2d = -5
   \]
   \[
   U_5 = a + 4d = -9
   \]

3. **Solve for \(a\) and \(d\):**

   Subtract the first equation from the second:

   \[
   (a + 4d) - (a + 2d) = -9 - (-5)
   \]
   Simplifying:

   \[
   2d = -4
   \]
   Therefore, the common difference is:

   \[
   d = -2
   \]

   Now substitute \(d = -2\) into one of the original equations to find \(a\). Using \(U_3 = a + 2d = -5\):

   \[
   a + 2(-2) = -5
   \]
   \[
   a - 4 = -5
   \]
   Solving for \(a\):

   \[
   a = -1
   \]

4. **Find the 10th term:**

   Now that we know \(a = -1\) and \(d = -2\), we can use the general formula to find the 10th term:

   \[
   U_{10} = a + (10 - 1) \cdot d = -1 + 9(-2)
   \]
   Simplifying:

   \[
   U_{10} = -1 - 18 = -19
   \]

### Final Answer:
The 10th term (\(U_{10}\)) is \(-19\).

---

Would you like further clarification on any steps, or do you have additional questions? Here are some related questions you might consider:

1. How do we determine the common difference (\(d\)) in an arithmetic sequence?
2. Can the first term be directly given, and how does that affect the solution?
3. How would the solution change if this were a geometric sequence instead of an arithmetic one?
4. What other methods can be used to solve for the terms of a sequence?
5. How can the sum of the first \(n\) terms of this arithmetic sequence be calculated?

**Tip:** In arithmetic sequences, finding two consecutive terms can always help solve for both the common difference and the first term quickly.

Diketahui suku ke-3 dan suku ke-5 dari barisan aritmetika secara berturut-turut adalah −5 dan −9. Tentukan suku ke-10 dari barisan tersebut!

Learn how to find the 10th term of an arithmetic sequence when the 3rd term is -5 and the 5th term is -9. This example demonstrates how to solve for the common difference and the first term of the sequence, making it perfect for students in Grades 8-10.

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