Let's analyze the sequences you provided one by one:
-
Sequence:
---, 7.4, 6.6, 5.8, 5, ---Looking at the numbers, we can see a pattern where each number is decreasing. The differences between consecutive terms are:
- 7.4 to 6.6: difference of 0.8
- 6.6 to 5.8: difference of 0.8
- 5.8 to 5: difference of 0.8
Based on this pattern, we can predict the next number:
- 5 - 0.8 = 4.2
And before 7.4, we can also deduce the previous term:
- 7.4 + 0.8 = 8.2
Therefore, the completed sequence is:
8.2, 7.4, 6.6, 5.8, 5, 4.2. -
Sequence:
-----, -------, 10.1, 9.4, 8.7, 8We notice that this sequence is also decreasing:
- 10.1 to 9.4: difference of 0.7
- 9.4 to 8.7: difference of 0.7
- 8.7 to 8: difference of 0.7
We can determine the next number:
- 8 - 0.7 = 7.3
For the two numbers before 10.1:
- 10.1 + 0.7 = 10.8
- 10.8 + 0.7 = 11.5
So, the completed sequence is:
11.5, 10.8, 10.1, 9.4, 8.7, 8, 7.3. -
Sequence:
3.5, 5, 6.5, 8, ----, ----This sequence is increasing, and we can find the differences:
- 3.5 to 5: difference of 1.5
- 5 to 6.5: difference of 1.5
- 6.5 to 8: difference of 1.5
Therefore, continuing the pattern, the next number is:
- 8 + 1.5 = 9.5
And the number after that would be:
- 9.5 + 1.5 = 11
Thus, the completed sequence is:
3.5, 5, 6.5, 8, 9.5, 11.
To summarize:
- First Sequence:
8.2, 7.4, 6.6, 5.8, 5, 4.2 - Second Sequence:
11.5, 10.8, 10.1, 9.4, 8.7, 8, 7.3 - Third Sequence:
3.5, 5, 6.5, 8, 9.5, 11