16 20. (5i – 4) i= 1 THEOREM 4.2 Summation Formulas n(n + 1) 1. c = cn, c is a constant 2. %3| i=1 n(n + 1)(2n + 1) п 3. 4. n2(n + 1)2 4 A proof of this theorem is given in Appendix A.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.5: Product-to-sum And Sum-to-product Formulas
Problem 33E
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Calculus 11th Edition - Ron Larson

Chapter 4.2 - Area

"Evaluating a Sum". Use the properties of summation and Theorem 4.2 to evaluate the sum. Use the summation capabilities of a graphing utility to verify your result. Please show work and explain steps, thank you.

 

16
20. (5i – 4)
i= 1
Transcribed Image Text:16 20. (5i – 4) i= 1
THEOREM 4.2 Summation Formulas
n(n + 1)
1. c = cn, c is a constant
2.
%3|
i=1
n(n + 1)(2n + 1)
п
3.
4.
n2(n + 1)2
4
A proof of this theorem is given in Appendix A.
Transcribed Image Text:THEOREM 4.2 Summation Formulas n(n + 1) 1. c = cn, c is a constant 2. %3| i=1 n(n + 1)(2n + 1) п 3. 4. n2(n + 1)2 4 A proof of this theorem is given in Appendix A.
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