Multiple choice

Directions: In this question, a number series is given. Find out the missing number in the series. 2, 8, 18, 32, 50, ?

  1. 64

  2. 72

  3. 70

  4. 68

  5. 62

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The series follows the pattern 2*(1^2), 2*(2^2), 2*(3^2), 2*(4^2), 2*(5^2). The next term is 2*(6^2) = 2*36 = 72.

AI explanation

This series is based on the formula for twice a perfect square, expressed as 2n squared. The terms are generated by plugging in consecutive integers for n: 2(1 squared) = 2, 2(2 squared) = 8, 2(3 squared) = 18, 2(4 squared) = 32, and 2(5 squared) = 50. Applying this same method for the sixth term gives 2(6 squared) = 2(36) = 72. The result is 72.