Summary: Series and Their Notations
Key Equations
sum of the first terms of an arithmetic series | |
sum of the first terms of a geometric series | |
sum of an infinite geometric series with |
Key Concepts
- The sum of the terms in a sequence is called a series.
- A common notation for series is called summation notation, which uses the Greek letter sigma to represent the sum.
- The sum of the terms in an arithmetic sequence is called an arithmetic series.
- The sum of the first terms of an arithmetic series can be found using a formula.
- The sum of the terms in a geometric sequence is called a geometric series.
- The sum of the first terms of a geometric series can be found using a formula.
- The sum of an infinite series exists if the series is geometric with .
- If the sum of an infinite series exists, it can be found using a formula.
- An annuity is an account into which the investor makes a series of regularly scheduled payments. The value of an annuity can be found using geometric series.