Which sequence is an arithmetic progression with common difference −7?

Correct answer: (49, 42, 35, 28, …)

To identify the required arithmetic progression, subtract each term from the following term and check whether every result is −7. In option A, 42 − 49 = −7, 35 − 42 = −7, and 28 − 35 = −7. Thus the terms decrease by exactly 7 at every step, so option A satisfies the condition. Option B has common difference +7, option C has common difference −9 because 40 − 49 = −9, and option D has common difference +7. A negative common difference means that the sequence decreases as it proceeds; it does not require the terms themselves to be negative. Therefore option A is the only correct answer.