Question

Identify the next number in the series: 2, 6, 12, 20, ?

• A. 30
• B. 32
• C. 34
• D. 36

Hint:

When the differences between terms follow a regular pattern, you can identify the next term by continuing that pattern.

Answer 1

The Correct Option is A

The given series is 2, 6, 12, 20. Let's look at the differences between successive terms: \[ 6 - 2 = 4, \quad 12 - 6 = 6, \quad 20 - 12 = 8 \] The differences are increasing by 2 each time, so the next difference will be 10. Thus, the next term in the series will be: \[ 20 + 10 = 30 \] Thus, the correct answer is 30.