The first four terms of an A.P. whose first term is `-2` and the common difference is `-2` are

Options

A. `-2,0,2,4`
B. `-2,4,-8,16`
C. `-2,-4,-6,-8`
D. `-2,-4,-8,-16`

Explanation

To find the first four terms of an Arithmetic Progression (A.P.) where the first term \( a_1 = -2 \) and the common difference \( d = -2 \), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the first term**:
\[ a_1 = -2 \]

2. **Calculate the second term**:
The second term \( a_2 \) can be calculated using the formula:
\[ a_2 = a_1 + d \]
Substituting the values:
\[ a_2 = -2 + (-2) = -2 - 2 = -4 \]

3. **Calculate the third term**:
The third term \( a_3 \) is calculated as:
\[ a_3 = a_2 + d \]
Substituting the values:
\[ a_3 = -4 + (-2) = -4 - 2 = -6 \]

4. **Calculate the fourth term**:
The fourth term \( a_4 \) is calculated as:
\[ a_4 = a_3 + d \]
Substituting the values:
\[ a_4 = -6 + (-2) = -6 - 2 = -8 \]

5. **List the first four terms**:
The first four terms of the A.P. are:
\[ a_1, a_2, a_3, a_4 = -2, -4, -6, -8 \]

### Final Answer:
The first four terms of the A.P. are:
\[ -2, -4, -6, -8 \]