Dr. Johnson’s File Numbering Algorithm
Introduction
Dr. Johnson employs a unique algorithm to number his files.
Current File Numbers
The numbers assigned to his first five files are as follows: 3, 8, 15, 24, and 35.
Can You Predict the Next Number?
What do you think is the number on his next file?
Answer
The next number is 48. The pattern is established by adding consecutive odd numbers:
– 3 + 5 = 8
– 8 + 7 = 15
– 15 + 9 = 24
– 24 + 11 = 35
– 35 + 13 = 48
The sequence can also be represented as (x + 5, +7, +9, +11, +13, …).