The image contains a math problem written in Arabic and covers topics related to recursive sequences. Below is a breakdown of the key information:

1. Recurrence Relation:

   • The sequence $U_n$ is defined recursively as: $U_{n+1} = \frac{3U_n}{U_n - 2}$ with the initial condition $U_0 = -1$.

2. First Part:

   • Calculate the first few terms of the sequence: $U_1, U_2$.

3. Second Part:

   • Another sequence $V_n$ is introduced, where $V_n = U_n - 1$.
   • The task involves defining the recursive relationship for $V_n$ based on $U_n$, finding the first term, and expressing the general term for $V_n$ in terms of $n$.

4. Third Part:

   • Prove that $U_n$ is related to $(-4) \times 3^n$, and the relation between $U_{n+1} - U_n$.

5. Fourth Part:

   • Sum the sequence terms from $U_0$ to $U_n$ and express the sum in terms of $n$.

If you'd like, I can proceed to solve these parts. Would you like a detailed solution for each part? Here are a few relevant questions to consider:

1. How do we compute $U_1$ and $U_2$ using the given recurrence relation?
2. What is the recursive relation for $V_n$ in terms of $U_n$?
3. How does the sequence $V_n$ help in simplifying the analysis of $U_n$?
4. How is the sequence sum $U_0 + U_1 + \cdots + U_n$ related to $n$?
5. Can we derive the general term for the sequence using the given relation between $U_n$ and powers of 3?

Tip: When solving recursive sequences, calculating the first few terms is often key to identifying a pattern or simplifying the problem.