6_2_Student_Notes.pdf - Lesson 2 Summation Notation Writing...

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Understanding Summation Notation Summation notation is a method for “summing up” a finite number of terms in a sequence, where the Greek letter sigma, ȭ is the “operator” that indicates this process. EX #1: Evaluate: EX #2: Consider the sum , Choose all answers that apply: A. B. C. D. It is acceptable to use any letter for the index of summation, most textbooks will use ݅ , ݇ , or ݊ . Be aware that some summation expressions may have other variables. For example, . This will help you understand how summation notation can represent Riemann Sums for a function: Lesson 2: Summation Notation ï Writing Area as a Limit Topic 6.3: Riemann Sums, Summation Notation, and Definite Integral Notation Summation notation (or sigma notation) gives us a compact way to write Riemann sums into a single expression. This lesson will lay the foundation for the definition of the definite integral . While you may have seen sigma notation in an earlier course, we will focus on using this tool to write Riemann Sums. ௞ୀଵ ݔ Summation sign Index of summation Lower Limit starting point Upper Limit stopping point expression ± ² 4 1 3 2 ³ ¦ k k 9 25 49 81 ´ ´ ´ ± ² 3 2 0 2 3 ´ ¦ n n ± ² 4 2 1 2 1 ´ ¦ n n ± ² 4 2 1 2 1 ³ ¦ n n ± ² 4 2 1 1 1 2 3 3 5 4 7 1 2 2 2 2 2 ³ ´ ´ ´ ¦ k k k x x x x x 3 2 1 ( 7) ´ ´ ¦ n n n ± ² ± ² ± ² ± ² ± ² 4 * * * * * 1 2 3 4 1 ´ ´ ´ ¦ i i f x f x f x f x f x

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