Final answer:
To predict the next numbers in the given sequence, we can analyze the patterns and differences between the consecutive numbers. Based on the observed patterns, the most likely prediction is option D. 72.
Step-by-step explanation:
To predict the next numbers in the given sequence, we can look for a pattern. Let's identify three different patterns in this sequence:
- The numbers are alternating between increasing and decreasing. For example, 27 to 55 is an increase, 55 to 40 is a decrease, 40 to 87 is an increase, and so on.
- The difference between each pair of consecutive numbers is changing. For example, the difference between 27 and 55 is 28, the difference between 55 and 40 is -15, and the difference between 40 and 87 is 47.
- The absolute value of the differences is increasing. For example, the absolute value of the difference between 27 and 55 is 28, the absolute value of the difference between 55 and 40 is 15, and the absolute value of the difference between 40 and 87 is 47.
Based on these patterns, we can predict the next numbers in the sequence:
- The next number will be a decrease from 87. Therefore, the next number is likely to be around 87 - 47 = 40.
- The next difference will be an increase. Therefore, the next difference is likely to be greater than 47.
- The next absolute difference will be an increase. Therefore, the next absolute difference is likely to be greater than 47.
Out of the given options, option B. 60 is not a likely prediction based on the observed patterns. Therefore, the correct answer is option D. 72, as it aligns with the patterns identified in the sequence.