Which of the following forms an arithmetic progression?
A
1, 1, 2, 2, 3, 3,...
B
0.3, 0.33, 0.333,...
C
√2, 2, 2√2, 4,...
D
9, 9 + √3, 9 + 2√3, 9 + 3√3,...
Correct Option:
D
Explanation
An arithmetic progression has a constant difference between consecutive terms. Here, each new term is obtained by adding √3: (9 + √3) − 9 = √3, and (9 + 2√3) − (9 + √3) = √3. Hence the common difference is √3. The other sequences do not have a constant difference.
