Solve numeric sequence pattern puzzles
Company: Optiver
Role: Software Engineer
Category: Statistics & Math
Difficulty: medium
Interview Round: Take-home Project
For each sequence below, determine the next number and explain the rule you used:
(
1) 20, 40, 50, 110, 115, 215, ?
(
2) 15, 35, 45, 105, 110, 210, ?
(
3) 4, 3, 7, 9, 10, 27, ?
(
4) 3, 7, 13, 19, 29, 37, ?
(
5) 19, 18, 20, 60, 15, 14, 16, ?
Quick Answer: This question evaluates pattern recognition and quantitative reasoning skills, requiring identification of numeric relationships, series properties, and simple number-theoretic or arithmetic transformations.