Number series – add successive perfect squares: 20, 24, 33, 49, 74, 110, ? Differences are 4, 9, 16, 25, 36; continue with the next square.

Introduction / Context:Adding consecutive perfect squares (2^2, 3^2, 4^2, …) to generate the next term is a popular test pattern. Once spotted, extension is immediate.

Given Data / Assumptions:

• 20→24 (+4), 24→33 (+9), 33→49 (+16), 49→74 (+25), 74→110 (+36).

Concept / Approach:These increments are squares of 2, 3, 4, 5, 6. The next increment must be 7^2=49.

Step-by-Step Solution:

Verification / Alternative check:Listing the differences (4, 9, 16, 25, 36, 49) confirms the simple rule.

Why Other Options Are Wrong:

Common Pitfalls:Stopping at first differences without recognizing they themselves form a classic square sequence.

Final Answer:159