Question

What will be the next number in the series? 2, 6, 12, 20, 30, ?

• A. 36
• B. 40
• C. 42
• D. 44

Hint:

In number series problems, look for patterns in the differences between consecutive numbers. In this case, the differences increase by 2 each time.

Answer 1

The Correct Option is C

The provided sequence is: 2, 6, 12, 20, 30, ?
The pattern observed is as follows:
\[ 2 \quad (2 + 4) = 6 \quad (6 + 6) = 12 \quad (12 + 8) = 20 \quad (20 + 10) = 30 \] The differences between consecutive terms are increasing by 2: 4, 6, 8, 10. Therefore, the next difference should be 12.
The next term in the sequence is calculated as:
\[ 30 + 12 = 42 \]
Answer: \(42\)