MP Board · Class 10 · Mathematics · Arithmetic ProgressionsWhich of the following sequences is an arithmetic progression?
An AP requires a constant common difference between consecutive terms. For option A ($2, 4, 8, 16, ...$), differences are $2, 4, 8$ (not constant). For option B ($1, 3, 9, 27, ...$), differences are $2, 6, 18$ (not constant). For option C ($3, 6, 9, 12, ...$), differences are always $3$, so it is an AP. Hence, option C is correct.
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Arithmetic Progressions.
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Arithmetic Progressions.
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Arithmetic Progressions.