The 1st, 5th, and 13th terms of an arithmetic sequence, with

Last updated: 7/17/2022

The 1st, 5th, and 13th terms of an arithmetic sequence, with common difference d, d # 0, are the first three terms of a geometric sequence, with common ratio r, r ≠ 1. Given that the 1st terms of both sequences is 12, find the value of d and the value of r.