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2, 6, 12, 20, 30, 42, 56, ? What is the missing number?

Question and options

2, 6, 12, 20, 30, 42, 56, ? What is the missing number?
  1. 70
  2. 72
  3. 74
  4. 76

Answer and explanation

Correct answer: B - 72
Each term is n(n+1): 1x2, 2x3, 3x4, ..., 7x8 = 56, so the next term is 8x9 = 72. The differences 4, 6, 8, 10, 12, 14 confirm that the next difference is 16.

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  • CUSAT CAT Integrated IPR Ph.D.

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