1. The problem is to find the next number in the sequence: 22, 46, 86, 236, 62, 64, 286. 2. First, observe the sequence carefully to identify any pattern or rule. 3. Let's look at the differences between consecutive terms: $$46 - 22 = 24$$ $$86 - 46 = 40$$ $$236 - 86 = 150$$ $$62 - 236 = -174$$ $$64 - 62 = 2$$ $$286 - 64 = 222$$ 4. The differences do not form a simple arithmetic or geometric pattern. 5. Let's check if the sequence alternates or has sub-patterns: - Odd terms: 22, 86, 62, 286 - Even terms: 46, 236, 64 6. Odd terms: 22, 86, 62, 286 Differences: $$86 - 22 = 64$$, $$62 - 86 = -24$$, $$286 - 62 = 224$$ 7. Even terms: 46, 236, 64 Differences: $$236 - 46 = 190$$, $$64 - 236 = -172$$ 8. No clear pattern emerges from differences. 9. Another approach is to check if the sequence is related to some function or rule involving digits or other operations, but no obvious pattern is found. 10. Since the sequence is irregular and no clear pattern is detected, the next number cannot be determined with certainty from the given data. Final answer: The next number in the sequence cannot be determined from the given terms with a clear pattern.