The first term a = -5, the common difference d = `1/2`.Find the first four terms.

Answer

To find the first four terms of the arithmetic progression (AP) given the first term \( a = -5 \) and the common difference \( d = \frac{1}{2} \), we will follow these steps:

### Step 1: Identify the first term
The first term \( a \) is given as:
\[ a = -5 \]

### Step 2: Calculate the second term
The second term is calculated using the formula:
\[ \text{Second term} = a + d \]
Substituting the values:
\[ \text{Second term} = -5 + \frac{1}{2} = -5 + 0.5 = -4.5 \quad \text{or} \quad -\frac{9}{2} \]

### Step 3: Calculate the third term
The third term is calculated using the formula:
\[ \text{Third term} = a + 2d \]
Substituting the values:
\[ \text{Third term} = -5 + 2 \times \frac{1}{2} = -5 + 1 = -4 \]

### Step 4: Calculate the fourth term
The fourth term is calculated using the formula:
\[ \text{Fourth term} = a + 3d \]
Substituting the values:
\[ \text{Fourth term} = -5 + 3 \times \frac{1}{2} = -5 + 1.5 = -3.5 \quad \text{or} \quad -\frac{7}{2} \]

### Conclusion
The first four terms of the arithmetic progression are:
\[ -5, -\frac{9}{2}, -4, -\frac{7}{2} \]

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