Question

What comes next in the sequence; 1, 6, 13, 22, 33, ?

• A. \(35 \)
• B. \(38 \)
• C. \(46 \)
• D. \(49 \)

Hint:

When the primary differences between numbers form an arithmetic progression (\(5, 7, 9, 11, \dots\)), it means the terms are increasing by consecutive odd numbers. Keep an eye out for this classic quadratic sequence structure!

Answer 1

The Correct Option is C

Step 1: Differences.
5, 7, 9, 11 (increasing by 2). Next difference=13. Next term $=33+13$ \[ \boxed{46} \]