Multiple choice

Directions: Find the missing term in the given series. 0, 2, 6, 12, 20, 30, 42 ___

  1. 50

  2. 52

  3. 56

  4. 54

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The sequence follows the pattern n(n+1) for n=0, 1, 2...: 0*1=0, 1*2=2, 2*3=6, 3*4=12, 4*5=20, 5*6=30, 6*7=42. The next term is 7*8 = 56.

AI explanation

The differences between the consecutive terms are 2, 4, 6, 8, 10, and 12. This is a sequence of consecutive even numbers, so the next difference must be 14. Adding 14 to the last term gives 42 + 14 = 56. The result is 56.

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