What characteristic do the numbers 8, 10, 15, 26, and
33 have that the numbers 5, 9, 16, 18, and 24 don’t
have?
To determine the characteristic that the numbers 8, 10, 15, 26, and 33 have that the numbers 5, 9, 16, 18, and 24 don't have, we need to compare the two sets of numbers and look for any distinct patterns or relationships.
One way to approach this is by analyzing the differences between consecutive numbers in each set. We can calculate the differences by subtracting each number from the next number in the set.
For the first set:
- Difference between 10 and 8: 10 - 8 = 2
- Difference between 15 and 10: 15 - 10 = 5
- Difference between 26 and 15: 26 - 15 = 11
- Difference between 33 and 26: 33 - 26 = 7
For the second set:
- Difference between 9 and 5: 9 - 5 = 4
- Difference between 16 and 9: 16 - 9 = 7
- Difference between 18 and 16: 18 - 16 = 2
- Difference between 24 and 18: 24 - 18 = 6
By examining the differences, we can observe that the first set of numbers has an alternating pattern of increasing and decreasing differences. Specifically, the differences in the first set follow the sequence of 2, 5, 11, 7.
In contrast, the second set of numbers does not exhibit any such pattern in the differences.
Therefore, the characteristic that the numbers 8, 10, 15, 26, and 33 have that the numbers 5, 9, 16, 18, and 24 don't have is an alternating pattern of increasing and decreasing differences.