IKMC 2027 - Grades 7-8 - Self-study SET 14 - Thematic Batch 3 Question 23

Each hour Henry’s phone loses some of its current battery charge. The remaining fraction follows a pattern. The table shows: initially 1; after 1 hour 1/5; after 2 hours 1/17; after 3 hours 1/37; after 4 hours 1/65; after 5 hours ?. What fraction remains after five hours?

Editorial convention: Continue the source’s intended rule: denominator = (twice the elapsed hours)² + 1.