10.3 Geometric Sequences

I. Definition

Given a series (list of values): a1, a1r, a1r2, a1r3, .......,a1rn-1

The Series is Geometric if the ratio, r of consecutive terms are the same

    

II. The n-th term of Geometric sequence is:

    

III. The sum of a finite Geometric sequence:

    

III. The sum of a infinite Geometric sequence when |r| < 1