Which of the following lists of numbers is/are an Arithmetic Progression?
(A) 2, 8, 14, 20,........
(B) 0, 4, 8, 12,.......
(C) 6, 12, 18, 24,........
(D) 21, 17, 15,.......
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → (A), (B) and (C) only
A list is an Arithmetic Progression when each term is obtained by adding the same number (the common difference) to the term before it.
(A) 2, 8, 14, 20,........ Correct. The differences are 6, 6, 6, so it is an AP with common difference 6.
(B) 0, 4, 8, 12,....... Correct. The differences are 4, 4, 4, so it is an AP with common difference 4.
(C) 6, 12, 18, 24,........ Correct. The differences are 6, 6, 6, so it is an AP with common difference 6.
(D) 21, 17, 15,....... Incorrect. The differences are \(17-21=-4\) and \(15-17=-2\); they are not equal, so it is not an AP.