Find the wrong number in the series: 3, 8, 15, 24, 34, 48, 63, …

Introduction / Context:Here the sequence grows by adding consecutive odd numbers to the previous term. Such a pattern is very common: +5, +7, +9, +11, +13, +15, … A single mis-addition creates the odd term out.

Given Data / Assumptions:

• Series: 3, 8, 15, 24, 34, 48, 63.
• Intended increments are consecutive odd numbers starting at 5.
• Only one term deviates from the rule.

Concept / Approach:Compute successive differences and compare them with the intended odd list. Replace the faulty term with the correctly incremented value to confirm the pattern.

Step-by-Step Solution:3 + 5 = 8 (OK)8 + 7 = 15 (OK)15 + 9 = 24 (OK)24 + 11 = 35 (but the series shows 34)Continuing intended: 35 + 13 = 48, 48 + 15 = 63

Verification / Alternative check:With 34 corrected to 35, all steps align perfectly with +5, +7, +9, +11, +13, +15. The later terms 48 and 63 already fit the corrected sequence, proving that 34 is the lone error.

Why Other Options Are Wrong:

• 15 / 24 / 48: all are consistent with the intended consecutive-odd increments.

Common Pitfalls:

• Mistaking arbitrary differences; the clean consecutive-odd rule best explains the progression.

Final Answer:34