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In the Sketch area, label what each part of the formula represents. Read the section of text below. (Click image to enlarge.) This formula for S, is useful if you know the first and ath terms of the series. If you do not know the ath term, you can find it using a̟ = a, + (n – 1)d from Lesson 8-1. This leads to a second formula which you are asked to prove in Question 17. Theorem (Sum of an Arithmetic Serles) The sum S,= a, +a,++ a, a, of an arithmetic series with constant difference d is given by S, = Gia, + a,) or S, = 3(2a, + (n – 1)0). S, = (a, + a,) The first formula for the sum of an arithmetic series indicates that you can find the sum if you know the first term, the last term, and the number of terms in the series. (2a, + (n – 1)d) Sn The second formula for the sum of an arithmetic series enables you to calculate the sum if you know the first term, the constant difference, and the number of terms of the series.

In the Sketch area, label what each part of the formula represents. Read the section of text below. (Click image to enlarge.) This formula for S, is useful if you know the first and ath terms of the series. If you do not know the ath term, you can find it using a̟ = a, + (n – 1)d from Lesson 8-1. This leads to a second formula which you are asked to prove in Question 17. Theorem (Sum of an Arithmetic Serles) The sum S,= a, +a,++ a, a, of an arithmetic series with constant difference d is given by S, = Gia, + a,) or S, = 3(2a, + (n – 1)0). S, = (a, + a,) The first formula for the sum of an arithmetic series indicates that you can find the sum if you know the first term, the last term, and the number of terms in the series. (2a, + (n – 1)d) Sn The second formula for the sum of an arithmetic series enables you to calculate the sum if you know the first term, the constant difference, and the number of terms of the series.

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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L... In the Sketch area, label what each part of the formula represents. Read the section of text below. (Click image to enlarge.) s,= {«, + a) T This formula for S, is useful if you know the first and wth terms of the series. If you do not know the wth term, you can find it using a, = a, + (n – 1)d from Lesson 81. This leads to a second formula which you are asked to prove in Question 17. Theorem (Sum of an Arithmetic Serles) The sum S,= a, + a, +... +a, = 2a, of an arithmetic series with constant difference d is given by %3D =1 S, = Gla, + a,) or S,, = 3(2a, + (n – 1)d). S, = (a, + a,) The first formula for the sum of an arithmetic series indicates that you can find the sum if you know the first term, the last term, and the number of terms in the series. S, = (2a, + (n – 1)d) The second formula for the sum of an arithmetic series enables you to calculate the sum if you know the first term, the constant difference, and the number of terms of the series.
Transcribed Image Text:L... In the Sketch area, label what each part of the formula represents. Read the section of text below. (Click image to enlarge.) s,= {«, + a) T This formula for S, is useful if you know the first and wth terms of the series. If you do not know the wth term, you can find it using a, = a, + (n – 1)d from Lesson 81. This leads to a second formula which you are asked to prove in Question 17. Theorem (Sum of an Arithmetic Serles) The sum S,= a, + a, +... +a, = 2a, of an arithmetic series with constant difference d is given by %3D =1 S, = Gla, + a,) or S,, = 3(2a, + (n – 1)d). S, = (a, + a,) The first formula for the sum of an arithmetic series indicates that you can find the sum if you know the first term, the last term, and the number of terms in the series. S, = (2a, + (n – 1)d) The second formula for the sum of an arithmetic series enables you to calculate the sum if you know the first term, the constant difference, and the number of terms of the series.
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