SERIES Program
A menu driven program which contains a collection of algorithms for sequences
and series from a College Algebra level course.
You can use it to:
- Find the general term of an arithmetic sequence when the first term, common
difference, and number of terms are known.
- Find the sum of an arithmetic sequence when the first and last terms are
known.
- Find the sum of an arithmetic sequence when the first term, common difference,
and number of terms are known.
- Find the general term of a geometric sequence when the first term, common
ratio, and number of terms are known.
- Find the sum of a geometric sequence when the first term, common ratio,
and number of terms are known.
- Find the sum of an infinite geometric sequence when the first term, common
ratio, and number of terms are known.
Formulas
General Term of an Arithmetic Sequence:
Arithmetic Series: (two formulas)
![S_n = n/2 ( a_1 + a_n )](series.htg/img1.gif)
General Term of a Geometric Sequence:
Geometric Series:
Infinite Geometric Series:
![S_inf = a_1 / ( 1 - r ), abs(r) < 1](series.htg/img5.gif)