Question

Complete the series: 4, 7, 12, 19, 28, ?

• A. 37
• B. 29
• C. 39
• D. 32
• E. 35

Answer 1

The Correct Option is C

Concept: Check difference pattern.
Step 1: Find differences.
\[ 7 - 4 = 3,\quad 12 - 7 = 5,\quad 19 - 12 = 7,\quad 28 - 19 = 9 \]
Step 2: Identify pattern.
Differences increase by $+2$: \[ 3,\ 5,\ 7,\ 9 \]
Step 3: Continue pattern.} Next difference = 11
Step 4: Add to last term.} 28 + 11 = 39
Step 5: Final answer.} Hence, next term is 39.