Problem #PRU-34854

Problems Methods Pigeonhole principle Pigeonhole principle (other) Algebra and arithmetic Sequences Recurrent relations Recurrent relations (other)
 12–14  3.0

Problem

In the number \(1234096\dots\) each digit, starting with the 5th digit is equal to the final digit of the sum of the previous 4 digits. Will the digits 8123 ever occur in that order in a row in this number?