Find next terms in sequences
Company: Optiver
Role: Data Scientist
Category: Statistics & Math
Difficulty: hard
Interview Round: Online Assessment
Find the rule and the next term for each sequence below. Explain your reasoning for each.
1) 12, 28, 36, 84, 88, 168, ?
2) 4/3, 1, 5, 8, 23, 47, ?
3) 3, 1, 2, 6, 12, 144, ?
4) 1/5, 2/3, 3/11, 3/6, 5/17, 4/9, ?
5) 7, 14, 24, 6, 12, 22, ?
6) 19, 18, 20, 60, 15, 14, 16, ?
7) 4, 2, 6, 6, 30, 150, ?
8) 1, 3, 7, 17, 41, 99, ?
Overview: This question evaluates pattern recognition, numerical reasoning, and sequence-inference competency across arithmetic, fractional, and recurrence-style relationships, and falls under the Statistics & Math domain relevant for data scientist roles.