Multiple choice

Directions: Find the missing number in the following series: 4, ?, 48, 100, 180, 294, 448

  1. 12

  2. 15

  3. 18

  4. 24

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

The series is based on the formula n^3 + n^2. For n=1, 1+1=2 (not 4). Let's check differences: 4, ?, 48, 100, 180, 294, 448. Differences: ?, ?, 52, 80, 114, 154. Second differences: 28, 34, 40. The missing term is 18, making the series 4, 18, 48, 100, 180, 294, 448.

AI explanation

The pattern of this series is based on multiplying consecutive even numbers. The terms can be written as 2 times 2, 3 times 6, 4 times 12, 5 times 20, and 6 times 30, showing that the second multiplier in each product increases by 4. For the missing term, we multiply 3 by 6, which gives the result 18.

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