Identify the next number in the sequence: 2, 6, 12, 20, 30.

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Multiple Choice

Identify the next number in the sequence: 2, 6, 12, 20, 30.

Explanation:
This sequence follows a simple pattern of multiplying consecutive integers. Each term is n(n+1): 1×2, 2×3, 3×4, 4×5, 5×6. The next is 6×7, which equals 42. You can also see this by looking at the differences between terms: 4, 6, 8, 10 — these increase by 2 each time, so the next difference is 12, and 30 + 12 = 42. Other options would require adding 10, 14, or 16, which breaks the steady increase by 2 in the differences. The next number is 42.

This sequence follows a simple pattern of multiplying consecutive integers. Each term is n(n+1): 1×2, 2×3, 3×4, 4×5, 5×6. The next is 6×7, which equals 42. You can also see this by looking at the differences between terms: 4, 6, 8, 10 — these increase by 2 each time, so the next difference is 12, and 30 + 12 = 42. Other options would require adding 10, 14, or 16, which breaks the steady increase by 2 in the differences. The next number is 42.

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