From the given series, which is the Arithmetic Progression (AP)?
A. 7, 18, 29, 40, ...
B. 3, 13, 23, 33, ...
C. 3, -8, -3, 18, ...
D. 2, -2, -6, -10, ...
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → A, B and D only
A sequence is an arithmetic progression only if the difference between consecutive terms stays the same throughout. Series A has a common difference of +11, series B of +10 and series D of −4.
C is not an AP. Its differences are −11, then +5, then +21 — they keep changing, so no common difference exists.