To solve the problem, we first identify the pattern in the sequence: 5, 3, 15, 12, 60, 56, ?
Step 1: Analyze the sequence operations
- 5 → 3: 5 - 2 = 3
- 3 → 15: 3 × 5 = 15
- 15 → 12: 15 - 3 = 12
- 12 → 60: 12 × 5 = 60
- 60 → 56: 60 - 4 = 56
Step 2: Apply the pattern to find the next term
The pattern alternates between subtracting an increasing integer (2→3→4...) and multiplying by 5.
After 56 (which is 60-4), the next operation is multiplying by 5:
56 × 5 = 280
Answer: 280
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