SOLUTION: Geometric series occur naturally in the solution of problems in finance. A geometric sequence with first term a, common ratio R, and n terms, is given as follows: 𝑎, 𝑎

Algebra ->  Sequences-and-series -> SOLUTION: Geometric series occur naturally in the solution of problems in finance. A geometric sequence with first term a, common ratio R, and n terms, is given as follows: 𝑎, 𝑎      Log On


   



Question 1172428:
Geometric series occur naturally in the solution of problems in
finance. A geometric sequence with first term a, common ratio R,
and n terms, is given as follows:
𝑎, 𝑎𝑅, 𝑎𝑅^2, … , 𝑎𝑅^(𝑛−1)---->(2)
Find the sum of the geometric sequence in (2), denoted by
𝑆𝑛.
In finance problems, the number n may be the number of months or
years. The number R is the compounding factor given by (1+r),
related to the rate of interest, r. Each finance problem is unique and
applying the geometric series formula upfront may lead to wrong
answers.

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

On geometric progressions,  see introductory lessons
    - Geometric progressions
    - The proofs of the formulas for geometric progressions
in this site.


You will find there the formula for the sum of the first n terms of any geometric progression.