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
3, 3 + √2, 3 + 2√2, 3 + 3√2, ...
Correct Option:
D
Explanation
An arithmetic progression must have a constant difference between consecutive terms. Here, (3 + √2) − 3 = √2, and each subsequent term also increases by √2. Thus the common difference is constant, so option D is an arithmetic progression.