Number Series — Find the Wrong Term (Interleaved Odd/Even Positions) Which number is incorrect in the sequence: 0, 2, 3, 5, 8, 10, 15, 18, 24, 26, 35?

Introduction / Context:Here the sequence is best understood by splitting into two interleaved subsequences. Many test-setters design one parity (odd or even positions) to follow a simple rule like adding consecutive odd numbers, revealing the outlier when the other parity is checked.

Given Data / Assumptions:

• Main sequence: 0, 2, 3, 5, 8, 10, 15, 18, 24, 26, 35
• Index positions (1-based): odd positions = 1,3,5,7,9,11; even positions = 2,4,6,8,10.

Concept / Approach:Split the list:

• Odd positions: 0, 3, 8, 15, 24, 35
• Even positions: 2, 5, 10, 18, 26

Step-by-Step Solution:Odd subsequence differences: 0→3 (+3), 3→8 (+5), 8→15 (+7), 15→24 (+9), 24→35 (+11). This is a perfect +3, +5, +7, +9, +11 pattern (consecutive odd numbers).Even subsequence should mirror a similar steadily growing pattern, but:2→5 (+3), 5→10 (+5), 10→18 (+8), 18→26 (+8)To remain consistent with consecutive odds, after +5 we expect +7, not +8. Therefore the value after 10 should be 17, not 18.

Verification / Alternative check:Replacing 18 with 17 makes the even subsequence +3, +5, +7, +9 and the merged sequence becomes fully regular with both parities following “add consecutive odd numbers”.

Why Other Options Are Wrong:

• 10, 24, 26: These align with the intended growth pattern once 18 is corrected, so they are not the erroneous term.

Common Pitfalls:Looking only at overall differences can be misleading. Many crafted sequences hide elegance in positional interleaving. Always test odd/even strands.

Final Answer:18