Consider the following sequence of seven letter strings formed using the letters X and x: XxXXXXX, XXxXXXX, XXXxXXX, XXXXxXX, XXXXXxX. In each successive term, the single lowercase x appears to shift one position to the right. Which of the following options correctly gives the next term in this pattern?

Difficulty: Easy

Correct Answer: XXXXXXx

Explanation:


Introduction / Context:
This question tests your ability to observe a visual pattern in a sequence of coded terms that use only the letters X and x. In coding and series based reasoning, the position of a particular symbol or letter often moves in a predictable way. Here, the lowercase x is the key element, and your task is to determine how it shifts through the sequence and then predict the next term that continues the same trend.


Given Data / Assumptions:

    • Given terms: XxXXXXX, XXxXXXX, XXXxXXX, XXXXxXX, XXXXXxX. • Each term has seven letters in total. • Each term contains exactly one lowercase x and six uppercase X letters. • The next term must follow exactly the same positional pattern of the lowercase x.


Concept / Approach:
The core idea is to track the position of the lowercase x from left to right. In many sequence problems, an element moves step by step across positions. Once we map the exact position index of x in every term, we can predict its next position. After identifying this shift, we simply construct the term with x in the new position and X in all remaining positions.


Step-by-Step Solution:
Step 1: Mark positions from left to right as 1, 2, 3, 4, 5, 6, 7. Step 2: In the first term XxXXXXX, the lowercase x is at position 2. Step 3: In the second term XXxXXXX, the lowercase x is at position 3. Step 4: In the third term XXXxXXX, the lowercase x is at position 4. Step 5: In the fourth term XXXXxXX, the lowercase x is at position 5. Step 6: In the fifth term XXXXXxX, the lowercase x is at position 6. Step 7: The pattern is clear: the x moves one step to the right in each new term, so in the next (sixth) term it must be at position 7. Step 8: A term with x at position 7 and X elsewhere is XXXXXXx.


Verification / Alternative check:
You can confirm the pattern by counting positions again. From term one to term five the positions of x are 2, 3, 4, 5 and 6 respectively. This is an arithmetic progression with common difference 1. The next value in this progression is 7, which exactly matches the position of x in XXXXXXx. No other option moves the lowercase x to a new position consistent with the established pattern.


Why Other Options Are Wrong:
Option xXXXXXX places x at position 1, which would move it backwards instead of forward. Option XxXXXXX repeats the first term and does not continue the sequence. Option XXxXXXX repeats the second term and again fails to progress the pattern. Option XXXxXXX repeats the third term rather than giving the sixth distinct term.


Common Pitfalls:
Some learners focus only on the number of X and x letters and overlook the precise position of the lowercase x. Others mistakenly assume the sequence might restart after a few terms. It is important to track the exact index of the special character and not be distracted by terms that just look familiar. Another pitfall is to treat the pattern as alternating randomly, instead of a simple left to right shift.


Final Answer:
The lowercase x continues moving one step to the right and therefore occupies the seventh position in the next term. The correct continuation of the series is XXXXXXx.

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