Question

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

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

Hint:

When numbers increase quickly in a series, checking the differences between consecutive terms often reveals the pattern.

Answer 1

The Correct Option is C

Concept: Series problems often follow patterns in the differences between consecutive terms.

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

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

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