Question

Identify the pattern in the number series and complete the sequence: 3, 8, 15, 24, __, __

• A. 35, 46
• B. 32, 43
• C. 33, 44
• D. 28, 39

Hint:

When first differences follow a pattern, continue that pattern to project the next terms. If needed, check second differences too.

Answer 1

The Correct Option is A

Solution:
Step 1 (Compute differences).
\(8-3=5\), \(15-8=7\), \(24-15=9\).
Step 2 (Identify the rule).
Differences are consecutive odd numbers \(5,7,9,\ldots\). Next differences: \(11,13\).
Step 3 (Find the missing terms).
\(24+11=35\).
\(35+13=46\).
Step 4 (Completed series).
\(3, 8, 15, 24, 35, 46\).
\[ {35,\,46\ \text{(Option (a)}} \]