In the previous unit, sequences and series were evaluated
to the “nth” term. In each case we
used formulas to determine the first and last terms, found the common
difference or common ratio, used the information to find the arithmetic means
(A.M.), found the “nth” partial sums,
and performed other tasks to examine their properties. In every instance our
analysis examined the sequence or series in the “finite” sense. In other words, the
evaluation processes stopped within the constraints of a “last term”. In this unit
we extend our examination to the “infinite”.