digits of 16 naturals form a geometric sequence
Source: 1967-68 Germany R4 12.4
October 13, 2024
geometric sequenceDigitsnumber theory
Problem Statement
Sixteen natural numbers written in the decimal system may form a geometric sequence, of which the first five members have nine digits, five further members have ten digits, four members have eleven digits and two terms have twelve digits. Prove that there is exactly one sequence with these properties.