The correct option is (D): (60, 69, 82)
Explanation: To determine which set is most similar to the given set (6, 15, 28), we can look at the differences between the numbers. The differences in the given set are:
- 15 - 6 = 9
- 28 - 15 = 13
So, the differences are 9 and 13.
Now, examining the options:
A: (50, 59, 71) → Differences: 9, 12
B: (46, 56, 66) → Differences: 10, 10
C: (60, 69, 72) → Differences: 9, 3
D: (60, 69, 82) → Differences: 9, 13
Option D has the same differences as the given set, making it the most similar. Therefore, the correct answer is Option D – (60, 69, 82).