Question

Find the common difference of the following A.P.: \[ 2, \, 4, \, 6, \, 8, \ldots \]

Hint:

In an A.P., subtract any term from its succeeding term to find the common difference.

Answer 1

Step 1: Recall the formula for the common difference.
In an arithmetic progression (A.P.), the common difference is given by: \[ d = a_2 - a_1 \] Step 2: Substitute the values.
The first term \(a_1 = 2\) and the second term \(a_2 = 4\). \[ d = 4 - 2 = 2 \] Step 3: Conclusion.
Hence, the common difference of the given A.P. is 2.
Final Answer: \[ \boxed{d = 2} \]