Write first four terms of the A. P., when the first term a and the common difference d are given as follows :
`a = 4, d =-3`

Answer

To find the first four terms of the Arithmetic Progression (A.P.) when the first term \( a = 4 \) and the common difference \( d = -3 \), we can follow these steps:

### Step 1: Identify the first term and common difference
We are given:
- First term \( a = 4 \)
- Common difference \( d = -3 \)

### Step 2: Write the formula for the n-th term of an A.P.
The n-th term of an A.P. can be calculated using the formula:
\[ A_n = a + (n - 1) \cdot d \]
where \( A_n \) is the n-th term, \( a \) is the first term, \( d \) is the common difference, and \( n \) is the term number.

### Step 3: Calculate the first four terms
1. **First term \( A_1 \)**:
\[ A_1 = a = 4 \]

2. **Second term \( A_2 \)**:
\[ A_2 = a + d = 4 + (-3) = 4 - 3 = 1 \]

3. **Third term \( A_3 \)**:
\[ A_3 = a + 2d = 4 + 2 \cdot (-3) = 4 - 6 = -2 \]

4. **Fourth term \( A_4 \)**:
\[ A_4 = a + 3d = 4 + 3 \cdot (-3) = 4 - 9 = -5 \]

### Step 4: List the first four terms
The first four terms of the A.P. are:
\[ 4, 1, -2, -5 \]

### Final Answer
The first four terms of the A.P. are \( 4, 1, -2, -5 \).

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