State true or false: Middle term for expansion of `(2x - 3)^(8)` is 5th term.

Answer

To determine whether the statement "Middle term for expansion of \((2x - 3)^{8}\) is the 5th term" is true or false, we can follow these steps:

### Step 1: Identify the value of \(n\)
The expression given is \((2x - 3)^{8}\). Here, \(n = 8\).

### Step 2: Determine if \(n\) is even or odd
Since \(n = 8\) is even, we can proceed to find the middle term.

### Step 3: Calculate the middle term
For a binomial expansion \((a + b)^n\), when \(n\) is even, the middle term is given by the formula:
\[ \text{Middle term} = \left(\frac{n}{2} + 1\right)^{th} \text{ term} \]
Substituting \(n = 8\):
\[ \text{Middle term} = \left(\frac{8}{2} + 1\right)^{th} \text{ term} = (4 + 1)^{th} \text{ term} = 5^{th} \text{ term} \]

### Step 4: Conclusion
Since we have calculated that the middle term is indeed the 5th term, the statement "Middle term for expansion of \((2x - 3)^{8}\) is the 5th term" is **True**.

### Final Answer
**True**

---