| Summary: | This lesson is the study of the Summation (Sigma) Notation. It begins with a short review of Arithmetic & Geometric series. The main focus of this lesson is using the Summation (Sigma) Notation to write the terms of a series, finding the number of terms to be summed, writing arithmetic & geometric series in Sigma notation, and simplifying arithmetic & geometric series expressed in Sigma notation.
After this lesson, you will be able to:
- tell the difference between an arithmetic series and a geometric series.
- understand the Sigma Notation
and the terminology the index of summation, k, lower limit, upper limit
- when given the Sigma notation for an Arithmetic or Geometric Series:
- find the number of terms, n, to be summed
- write the terms of the series corresponding to the Sigma Notation
- find the sum of the series
- when given the Arithmetic or Geometric series, write the corresponding summation (Sigma) notation.
- simplify arithmetic & geometric series expressed in Sigma notation.
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