Question

Find the missing number: \(2, 6, 12, 20, 30, ?\)

• A. \(38\)
• B. \(40\)
• C. \(42\)
• D. \(44\)

Hint:

In number series questions, checking the first differences often reveals a simple pattern such as constant increase, arithmetic progression, or multiplication.

Answer 1

The Correct Option is C

Concept: In number series problems, observe the pattern of differences between consecutive terms. If the difference follows a recognizable pattern, the next term can be determined.

Step 1: Find the differences between consecutive terms. \[ 6-2 = 4 \] \[ 12-6 = 6 \] \[ 20-12 = 8 \] \[ 30-20 = 10 \] Thus the differences are \[ 4,\,6,\,8,\,10 \]

Step 2: Observe the pattern. The differences increase by \(2\) each time. \[ 4,\,6,\,8,\,10,\,12 \]

Step 3: Find the next term. \[ 30 + 12 = 42 \] Therefore, the missing number is \(42\).