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 \( A \) is -2 and the common difference \( D \) is -2, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the first term and common difference:**
- The first term \( A_1 = -2 \)
- The common difference \( D = -2 \)

2. **Calculate the second term \( A_2 \):**
\[ A_2 = A_1 + D = -2 + (-2) = -2 - 2 = -4 \]

3. **Calculate the third term \( A_3 \):**
\[ A_3 = A_2 + D = -4 + (-2) = -4 - 2 = -6 \]

4. **Calculate the fourth term \( A_4 \):**
\[ A_4 = A_3 + D = -6 + (-2) = -6 - 2 = -8 \]

5. **List the first four terms:**
- The first term \( A_1 = -2 \)
- The second term \( A_2 = -4 \)
- The third term \( A_3 = -6 \)
- The fourth term \( A_4 = -8 \)

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

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