Consider the following repeating pattern of letters: abABABAB, ABabABAB, ABABabAB, ABABABab, abABABAB, ____. Which of the given options best represents the next term that follows this trend?

Difficulty: Medium

Correct Answer: ABabABAB

Explanation:


Introduction / Context:
This question tests pattern recognition in a sequence of letter strings where lower case and upper case letters alternate in a structured way. The given list is abABABAB, ABabABAB, ABABabAB, ABABABab, abABABAB, and we must predict the next term. Such mixed case patterns appear in logical reasoning questions to check whether a candidate can track positional changes beyond simple alphabet order.


Given Data / Assumptions:

  • Terms given: abABABAB, ABabABAB, ABABabAB, ABABABab, abABABAB, ?
  • Each term has eight characters comprised only of a and b in upper or lower case.
  • The pattern involves shifting the position of the lower case substring ab inside the eight character block.
  • Options: ABABAbaB, abABABAB, ABabABAA, ABabABAB.


Concept / Approach:
We treat each term as a variant of the base pattern ABABABAB, where exactly one occurrence of ab appears in lower case while the rest remains uppercase AB. The key is to track the location of the lower case pair as it moves within the eight character sequence. Once this positional movement is identified, we can deduce the next location and thus the next term in the series.


Step-by-Step Solution:
Step 1: Observe the first term abABABAB. The lower case ab appears at positions 1 and 2, followed by ABABAB in upper case.Step 2: In the second term ABabABAB, the lower case ab has moved to positions 3 and 4.Step 3: In the third term ABABabAB, the lower case ab appears at positions 5 and 6.Step 4: In the fourth term ABABABab, the lower case ab appears at positions 7 and 8.Step 5: In the fifth term abABABAB, the pattern repeats with lower case ab returning to positions 1 and 2, indicating a cycle of four positions.Step 6: After repeating the first term, the next logical step is to repeat the second term in the cycle, where the lower case ab appears at positions 3 and 4, that is ABabABAB.


Verification / Alternative check:
We can consider the sequence as a cyclic movement of the lower case block ab through four possible positions within ABABABAB. The order of positions is 1 to 2, 3 to 4, 5 to 6, 7 to 8, and then back to 1 to 2. The fifth term returns to the first position, so the sixth term must match the second position. Among the options, only ABabABAB matches this pattern exactly.


Why Other Options Are Wrong:
The option ABABAbaB does not place ab as a clean lower case block in the same positions as any previous state and breaks the cycle. The option abABABAB simply repeats the fifth term, which is not the next state in the positional cycle. ABabABAA changes the last two letters away from the repeating AB pattern and therefore does not follow the original structure. Hence they are all inconsistent with the identified rule.


Common Pitfalls:
Many learners focus only on whether terms look similar without precisely tracking the positions of lower and upper case letters. Another common error is to assume that the pattern is random or to choose a term that simply looks like an earlier entry without following the cycle. Paying attention to exact positions of each case transition helps to avoid such mistakes.


Final Answer:
The term that correctly follows the given pattern is ABabABAB.

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