Which of the following series of numbers is/are in Arithmetic Progression?
A. 6, 12, 18, 24, ...
B. 0, −2, −4, −6, ...
C. 4, 8, 12, 16, ...
D. 23, 20, 16, ...
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 series is an arithmetic progression when the difference between each term and the one before it, the common difference, stays the same throughout.
A. 6, 12, 18, 24, ... Correct. Each term is 6 more than the one before: common difference 6.
B. 0, −2, −4, −6, ... Correct. Each term is 2 less than the one before: common difference −2 (a negative difference is allowed).
C. 4, 8, 12, 16, ... Correct. Each term is 4 more than the one before: common difference 4.
D. 23, 20, 16, ... Incorrect. \(20-23=-3\) but \(16-20=-4\), so the difference changes and the series is not an AP.