1. The problem presents the sequence: 1, 6, 13, 22, 33, ? and asks to find the next number. 2. Observe the differences between consecutive terms: $$6 - 1 = 5$$ $$13 - 6 = 7$$ $$22 - 13 = 9$$ $$33 - 22 = 11$$ 3. The differences are 5, 7, 9, 11, which increase by 2 each time. This pattern suggests the next difference is: $$11 + 2 = 13$$ 4. Add this to the last given number to find the next term: $$33 + 13 = 46$$ 5. Therefore, the next number in the sequence is 46.