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.

General Term of an Arithmetic Sequence:

Arithmetic Series: (two formulas)

General Term of a Geometric Sequence:

Geometric Series:

S_n = a_1 ( 1 - r^n ) / ( 1 - r )

Infinite Geometric Series:

S_inf = a_1 / ( 1 - r ), abs(r) < 1