Question

Establish by mathematical induction that a set containing n elements has 2^n subsets. Prove that the sum of the interior angles of a polygon having n sides is (n-2) * 180 degrees.

Name: esfablish by mathernahical indu cfion hhc sel contai ntrs nl elements has 2h subsefs prove hct the fum el lhe jez rees in hh2 inecior angles of qolygen havins n sides ts leocn u 01444
Uploaded: 2023-11-04T09:25:27-08:00
Duration: 3 min 13 s
Channel: Adi S
Description: esfablish by mathernahical indu cfion hhc sel contai ntrs nl elements has 2h subsefs prove hct the fum el lhe jez rees in hh2 inecior angles of qolygen havins n sides ts leocn u 01444

          Establish by mathematical induction that a set containing n elements has 2^n subsets. Prove that the sum of the interior angles of a polygon having n sides is (n-2) * 180 degrees.

esfablish by mathernahical indu cfion hhc sel contai ntrs nl elements has 2h subsefs prove hct the fum el lhe jez rees in hh2 inecior angles of qolygen havins n sides ts leocn u 01444

Added by Trevor M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

11/04/2023

Step 1

A polygon with 1 side does not exist, so there are no interior angles. Therefore, the sum of the degrees of the interior angles is 0, which is equal to 180(1-2) = 180(0) = 0. Thus, the statement holds for n = 1. Show more…

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Establish by mathematical induction that a set containing n elements has 2^n subsets. Prove that the sum of the interior angles of a polygon having n sides is (n-2) * 180 degrees.