Which of the following terms follows the trend of the given list?
AAAAABAB, AAAABAAB, AAABAAAB, AABAAAAB, ABAAAAAB, ________
- ABAAAAAAB
- BAAAAAABB
- CAAAAABAB
- DAAAABAAB
Solution & Step-by-step Explanation
Let's analyze the pattern of letters in the given terms:
AAAAABAB → The first 'B' is at the 6th position from the left.
AAAABAAB → The first 'B' shifts to the 5th position from the left.
AAABAAAB → The first 'B' shifts to the 4th position from the left.
AABAAAAB → The first 'B' shifts to the 3rd position from the left.
ABAAAAAB → The first 'B' shifts to the 2nd position from the left.
Following this shift trend, in the next term, the first 'B' must shift to the 1st position from the left.
Also, notice the second 'B' is always fixed at the 8th (last) position.
Therefore, the next term in the series will be BAAAAAAB.
AAAAABAB → The first 'B' is at the 6th position from the left.
AAAABAAB → The first 'B' shifts to the 5th position from the left.
AAABAAAB → The first 'B' shifts to the 4th position from the left.
AABAAAAB → The first 'B' shifts to the 3rd position from the left.
ABAAAAAB → The first 'B' shifts to the 2nd position from the left.
Following this shift trend, in the next term, the first 'B' must shift to the 1st position from the left.
Also, notice the second 'B' is always fixed at the 8th (last) position.
Therefore, the next term in the series will be BAAAAAAB.