19th term of the sequence`a(n)=(n-2)/(n+3)` is…………….

Answer

To find the 19th term of the sequence defined by the formula \( a(n) = \frac{n - 2}{n + 3} \), we will follow these steps:

### Step-by-Step Solution:

1. **Identify the term to find**: We need to find the 19th term, which means we will substitute \( n = 19 \) into the formula.

2. **Substitute \( n \) into the formula**:
\[ a(19) = \frac{19 - 2}{19 + 3} \]

3. **Calculate the numerator**:
\[ 19 - 2 = 17 \]

4. **Calculate the denominator**:
\[ 19 + 3 = 22 \]

5. **Combine the results**:
\[ a(19) = \frac{17}{22} \]

6. **Final answer**: The 19th term of the sequence is
\[ \frac{17}{22} \]