Question

Which of the following is an arithmetic progression (A.P.)?

• A. \( 0.3, 0.33, 0.333, \dots \)
• B. \( 1, 11, 111, \dots \)
• C. \( 2, 4, 8, 16, \dots \)
• D. \( 0, -4, -8, -12, \dots \)

Hint:

In an A.P., the difference between consecutive terms is always the same.

Answer 1

The Correct Option is D

An arithmetic progression (A.P.) has a constant common difference. Checking the differences:
\[ -4 - 0 = -4, \quad -8 - (-4) = -4, \quad -12 - (-8) = -4. \] Since the common difference is constant (\( -4 \)), this sequence is an A.P.