Problem #PRU-34854

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

Problem

In the number 1234096… 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 a row in this number?