or an integer n>=3, an n-gon is an n-sided polygon. (example, a 3-gon is a triangle, 4-gon is a quadrilateral, a 5-gon is a pentagon etc.) Use induction to prove that for every integer n>=3, the sum of the interior angles of every n-gon is (n-2) times 180 degrees. (hint: divide a (k+1) -gon into a k-gon and a triangle.)
or an integer n>=3, an n-gon is an n-sided polygon. (example, a 3-gon is a triangle, 4-gon is a quadrilateral, a 5-gon is a pentagon etc.) Use induction to prove that for every integer n>=3, the sum of the interior angles of every n-gon is (n-2) times 180 degrees. (hint: divide a (k+1) -gon into a k-gon and a triangle.)
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 46E: Use generalized induction and Exercise 43 to prove that n22n for all integers n5. (In connection...
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For an integer n>=3, an n-gon is an n-sided
Use induction to prove that for every integer n>=3, the sum of the interior angles of every n-gon is (n-2) times 180 degrees.
(hint: divide a (k+1) -gon into a k-gon and a triangle.)
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