Series • Infinity • Limit • Sum of an Infinite Geometric Series • Repeating Decimal
In the previous sections, we developed formulas for the sum of the first n terms of an arithmetic sequence and of a geometric sequence. The indicated sum of the terms of a sequence is called a series.
The indicated sum of the terms of the arithmetic sequence 2, 5, 8, 11, 14, … is the series .
The indicated sum of terms of the geometric sequence is the series
The series associated with a finite sequence will sum up to a real number. The series associated with an infinite arithmetic sequence will not sum up to a real ...