Question

In the AP: \( \frac{3}{2}, \frac{1}{2}, -\frac{1}{2}, -\frac{3}{2}, \dots \), the common difference is:

• A. -1
• B. 2
• C. 1
• D. 4

Hint:

The common difference of an arithmetic progression is found by subtracting the first term from the second term.

Answer 1

The Correct Option is A

The given arithmetic progression is \( \frac{3}{2}, \frac{1}{2}, -\frac{1}{2}, -\frac{3}{2}, \dots \). The common difference in an arithmetic progression is the difference between two consecutive terms. The common difference is: \[ \frac{1}{2} - \frac{3}{2} = -1 \] Final Answer: -1.