Multiple choice

Find the missing number in the given series following the same pattern. 18, 24, 84, 294, 798, (?)

  1. 1682

  2. 1690

  3. 1788

  4. 1867

  5. 1932

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C Correct answer
Explanation

The pattern is: 18 + 6 = 24; 24 + 60 = 84; 84 + 210 = 294; 294 + 504 = 798. The differences are 6, 60, 210, 504. These are 1*2*3, 3*4*5, 5*6*7, 7*8*9. The next difference is 9*10*11 = 990. 798 + 990 = 1788.