Continue the sequence: 2, 6, 12, 20, 30. Each term is the product of two neighboring natural numbers. What comes next?
Show hints
- Factor each term into two neighboring numbers.
- After 5 × 6 comes 6 × 7.
Show the answer and solution
Answer: 42
The terms are 1 × 2, 2 × 3, 3 × 4, 4 × 5, and 5 × 6. The next is 6 × 7 = 42.