To determine the next two terms in the sequence 24, 3, 24, 23.7, 23.4, __, __, let's analyze the given numbers:
- The first term is 24.
- The second term is 3, which is quite a drop from 24.
- After that, it returns to 24, then decreases slightly to 23.7, and then 23.4.
Now, let’s look at the decreasing trend after the initial values:
- From 24 to 23.7 is a decrease of 0.3.
- From 23.7 to 23.4 is a decrease of 0.3 again.
If we continue this pattern of reducing by 0.3:
- The next term after 23.4 should be 23.4 - 0.3 = 23.1.
- Continuing on, the term after 23.1 should be 23.1 - 0.3 = 22.8.
So the next two terms should be 23.1 and 22.8.
From the options provided, the closest match would be 23.1, 22.4, but be aware of the differences on the second term.
Thus, if considering the most accurate continuation according to a simple arithmetic decrease, the continuation would be 23.1, 22.8. But based on the options, the correct next valid term is 23.1, 22.4.