Consider the sequence AB_CC_A_BCCC_BBC_C that follows a certain pattern. Which one of the following completes the sequence?
- AB, C, B, C, A
- BA, C, B, C, A
- CB, C, B, A, CCorrect
- DC, B, B, A, C
Explanation
The given sequence is: AB_CC_A_BCCC_BBC_C
First, let's count the total number of positions (including blanks) in the sequence. A (1) B (2) _ (3) C (4) C (5) _ (6) A (7) _ (8) B (9) C (10) C (11) C (12) _ (13) B (14) B (15) C (16) _ (17) C (18) There are 18 positions in total, with 5 blanks.
Now, let's try filling the blanks with the letters from Option C: B, C, B, A, C. The blanks are at positions 3, 6, 8, 13, and 17.
- Fill the 1st blank (position 3) with 'B'.
- Fill the 2nd blank (position 6) with 'C'.
- Fill the 3rd blank (position 8) with 'B'.
- Fill the 4th blank (position 13) with 'A'.
- Fill the 5th blank (position 17) with 'C'.
The sequence becomes: A B (B) C C (C) A (B) B C C C (A) B B C (C) C
Let's write out the complete sequence after filling the blanks: A B B C C C A B B C C C A B B C C C
Now, observe the pattern in this completed sequence. It can be clearly divided into three identical blocks: (A B B C C C) (A B B C C C) (A B B C C C)
Each block is "ABBC CC", which is 6 characters long. Since there are three such blocks, the total length is 3 * 6 = 18 characters, matching the total positions in the sequence. This indicates a consistent repeating pattern.
Let's briefly check why other options are incorrect: If we fill with Option A (B, C, B, C, A): A B B C C C A B B C C C C B B C A C - No clear repeating pattern. If we fill with Option B (A, C, B, C, A): A B A C C C A B B C C C C B B C A C - No clear repeating pattern. If we fill with Option D (C, B, B, A, C): A B C C C B A B B C C C A B B C C C - No clear repeating pattern.
Thus, Option C is the only one that completes the sequence to form a logical and consistent repeating pattern.
The final answer is C

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