Question

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

• A. \(36\)
• B. \(40\)
• C. \(42\)
• D. \(44\)

Hint:

When solving number series, first check the differences between consecutive terms. Increasing differences often indicate an arithmetic pattern.

Answer 1

The Correct Option is C

Concept: Number series problems are often solved by examining the pattern in the differences between consecutive terms.

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

Step 2: Identify the pattern. The differences increase sequentially: \[ 4,\,6,\,8,\,10 \] Next difference: \[ 12 \]

Step 3: Find the next term. \[ 30 + 12 = 42 \] \[ \boxed{42} \]