Find the common difference of the `A.P.-10,-6,-2,2.......`

Answer

To find the common difference of the arithmetic progression (A.P.) given by the sequence -10, -6, -2, 2, we can follow these steps:

### Step 1: Identify the terms of the A.P.
The first few terms of the A.P. are:
- First term (a) = -10
- Second term = -6
- Third term = -2
- Fourth term = 2

### Step 2: Use the formula for common difference
The common difference (d) in an A.P. can be calculated using the formula:
\[ d = \text{Second term} - \text{First term} \]

### Step 3: Substitute the values
Substituting the values of the first and second terms into the formula:
\[ d = -6 - (-10) \]

### Step 4: Simplify the expression
Now simplify the expression:
\[ d = -6 + 10 \]
\[ d = 4 \]

### Conclusion
The common difference of the A.P. is:
\[ d = 4 \]