/sci/ - Science & Math

"Calculate the sum of the series (Infinity, Sigma, n=1)An whose partial sums are given by Sn = 2 - 3(.08)^n"

I'm a little confused about some of the notation for series and sequences. I thought if something was denoted with an "A(sub n)" it's implied to be an infinite sequence, and that "S(sub n)" is implied to be an infinite series. So logically "An" with a Sigma in front of it would just be another way of denoting a series.

Sn = 2 - 3(.08)^n , solved as a series equals infinity but the answer to the problem is 2. Can someone explain to a brainlet what partial sums means to me in this particular problem, and what the relation between "An" and "Sn" is?