> Explanation Formula used: The arithmetic sequence is a sequence of the form a , a + d , a + 2 d , … , a + ( n − 1 ) d , … Where a is the first term, n th term = a + ( n − 1 ) d and d is the common difference. Calculation: Here, a 3 = 180 ∘ , a 4 = 360 ∘ , a 5 = 540 ∘ and a 6 = 720 ∘ . That is, a + 2 d = 180 ∘ , a + 3 d = 360 ∘ , a + 4 d = 540 ∘ and a + 5 d = 720 ∘ . Compute the common difference by subtracting the any two consecutive terms. d = 360 ∘ − 180 ∘ = 180 ∘ d = 540 ∘ − 360 ∘ = 180 ∘ d = 720 ∘ − 540 ∘ = 180 ∘ Therefore, the common difference of any two consecutive terms is same. So, it forms an arithmetic sequence. Obtain the sum of the angle when n = 8 by adding 2 d on both sides of a + 5 d = 720 ∘

WebAssign with Corequisite Support for Gustafson/Hughes' College Algebra, 12th Edition [Instant Access], Single-Term

12th Edition

ISBN: 9780357422533

Author: Gustafson; R. David; Hughes; Jeff

Publisher: Cengage Learning US

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Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Chapter 8.3, Problem 35E

To determine

To complete:

The table

Figure Number of sides Sum of angles

Triangle 3 180∘

Quadrilateral 4 360∘

Pentagon 5 540∘

Hexagon 6 720∘

Octagon 8

Dodecagon 12

Expert Solution & Answer

Chapter 8 Solutions

WebAssign with Corequisite Support for Gustafson/Hughes' College Algebra, 12th Edition [Instant Access], Single-Term

Ch. 8.1 - Self Check Expand: (p+q)3.Ch. 8.1 - Self Check Expand: (pq)3.Ch. 8.1 - Self Check Evaluate: a. 4! b. 7!Ch. 8.1 - Self Check Show that 4!3!=4!.Ch. 8.1 - Self Check Use the Binomial Theorem to expand...Ch. 8.1 - Self Check Use the Binomial Theorem to expand...Ch. 8.1 - Self Check Find the sixth term of the expansion in...Ch. 8.1 - Self Check Find the fifth term of the expansion in...Ch. 8.1 - Prob. 9SC Ch. 8.1 - Prob. 1E

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The table Figure Number of sides Sum of angles Triangle 3 180 ∘ Quadrilateral 4 360 ∘ Pentagon 5 540 ∘ Hexagon 6 720 ∘ Octagon 8 Dodecagon 12

Solution Summary: The author explains the formula used to calculate the common difference by subtracting the two consecutive terms.

Videos

To complete:

The table

Figure Number of sides Sum of angles

Triangle 3 180∘

Quadrilateral 4 360∘

Pentagon 5 540∘

Hexagon 6 720∘

Octagon 8

Dodecagon 12

Chapter 8 Solutions

Figure	Number of sides	Sum of angles
Triangle	3	180∘
Quadrilateral	4	360∘
Pentagon	5	540∘
Hexagon	6	720∘
Octagon	8
Dodecagon	12

The table Figure Number of sides Sum of angles Triangle 3 180 ∘ Quadrilateral 4 360 ∘ Pentagon 5 540 ∘ Hexagon 6 720 ∘ Octagon 8 Dodecagon 12

Solution Summary: The author explains the formula used to calculate the common difference by subtracting the two consecutive terms.

Videos

To complete: The table Figure Number of sides Sum of angles Triangle 3 180∘ Quadrilateral 4 360∘ Pentagon 5 540∘ Hexagon 6 720∘ Octagon 8 Dodecagon 12

Chapter 8 Solutions

To complete:

The table

Figure Number of sides Sum of angles

Triangle 3 180∘

Quadrilateral 4 360∘

Pentagon 5 540∘

Hexagon 6 720∘

Octagon 8

Dodecagon 12