Subjects algebra

Sequence Pattern C10504

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1. **Problem statement:** Given the sequence A-BBC-AAB-CCA-BBCC, find the next sequence from options (A) ACBA, (B) BACB, (C) ABBA, (D) CABA. 2. **Understanding the problem:** The sequence consists of groups of letters separated by hyphens. We need to identify the pattern in these groups to predict the next group. 3. **Analyze each group:** - 1st group: A - 2nd group: BBC - 3rd group: AAB - 4th group: CCA - 5th group: BBCC 4. **Look for patterns in letters and their order:** - The letters used are A, B, and C. - The groups vary in length: 1, 3, 3, 3, 4 letters. 5. **Check frequency and order:** - Group 1: A (single letter) - Group 2: B B C (two Bs, one C) - Group 3: A A B (two As, one B) - Group 4: C C A (two Cs, one A) - Group 5: B B C C (two Bs, two Cs) 6. **Hypothesis:** The pattern seems to cycle through letters A, B, C with increasing counts or combinations. 7. **Predict next group:** After BBCC, the next group likely involves A and B or A and C. 8. **Check options:** - (A) ACBA - (B) BACB - (C) ABBA - (D) CABA 9. **Look for a group with two As and two Bs to continue the pattern:** - Option (C) ABBA has two As and two Bs. 10. **Conclusion:** The next group is **ABBA**. **Final answer:** (C) ABBA