in your eqn above there is a G.S. (a=1, r=1.006, n=n); and you solve for An = 0
Sn = [{(1.006^n)-1}/0.006]
.: 2800[(1.006^n)-1] = 1200(1.006^n)
==> 2800(1.006^n) - 2800 = 1200(1.006^n)
==> 1600(1.006^n) = 2800
==> 1.006^n = 1.75
==> ln(1.006^n) = ln 1.75
==> n ln (1.006) = ln 1.75...