Find the next term in the sequence: 2, 6, 12, 20, 30, ...

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Multiple Choice

Find the next term in the sequence: 2, 6, 12, 20, 30, ...

Explanation:
Each term comes from multiplying two consecutive integers, starting with 1×2, then 2×3, 3×4, 4×5, 5×6. Following that pattern, the next is 6×7 = 42. Another way to see it is by looking at the differences: 4, 6, 8, 10 — these increase by 2 each time, so the next difference is 12, giving 30 + 12 = 42. The next term is 42.

Each term comes from multiplying two consecutive integers, starting with 1×2, then 2×3, 3×4, 4×5, 5×6. Following that pattern, the next is 6×7 = 42. Another way to see it is by looking at the differences: 4, 6, 8, 10 — these increase by 2 each time, so the next difference is 12, giving 30 + 12 = 42. The next term is 42.

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