Prove that the equation is true for all positive integers

Assignment Help Mathematics
Reference no: EM131584766

Question: 1. Show that the sum of the interior angles of any n-gon (a polygon with n sides) is π(n - 2). Notice that such polygons may be wildly irregular and even non convex.

2. Write the equation

1 + 3 + 6 + 10 +. . . . +(n(n + 1)/2) = (n(n + 1)(n + 2)/6)

using summation notation. Prove that the equation is true for all positive integers n by using induction.

Reference no: EM131584766

Questions Cloud

Crisis on hrm practices in organizations : ASB-4904: Applied Business Project (HRM) Assignment2016 - Critically assess the impact of the 2008 global financial and economic crisis on HRM practices
Economy to secure prosperity for the society : Along with efficiency policy makers want to ensure that these resources are allocated evenly throughout the economy to secure prosperity for the society."
How well you have met outcomes for popular culture in media : Write a short essay (a minimum of one full well-developed paragraph) that evaluates, in detail, how well you have met the outcomes for Popular Culture In Media.
How does it compare with the riskfree rate : a) What is the value of debt? b) What is the expected yield of the debt? How does it compare with the riskfree rate?
Prove that the equation is true for all positive integers : Show that the sum of the interior angles of any n-gon (a polygon with n sides) is p(n - 2). Notice that such polygons may be wildly irregular.
Calculate the arc cross price elasticity : (a) Calculate the arc cross price elasticity of demand between Write Easy's and Joy Write's pens.
Determine transfer price under total variable cost method : Elba Division of Haimes Industries manufactures product #54B89. Determine the transfer price under each of the following methods: Total variable cost
Identify three keys points or beliefs : Identify three keys points or beliefs held by the Chicago school of economic thought. What are the macroeconomic policy implications of those beliefs?
Consumer confidence affect the ep and lm curve : How does an increase in consumer confidence affect the Ep and LM curve?

Reviews

Write a Review

Mathematics Questions & Answers

  Questions on ferris wheel

Prepare a Flexible Budget Gator Divers is a company that provides diving services such as underwater ship repairs to clients in the Tampa Bay area.

  Logistic map

This assignment has two question related to maths. Questions are related to bifurcation cascade and logistic map.

  Finding the probability of cards

This assignment has questions related to probabiltiy.

  Systems of ode

Find all the xed points, and study their stability and Draw the phase portrait of the system, as well as the graphs of the solutions in all relevant cases.

  Derive the boolean expression

Derive the Boolean Expression and construct the switching circuit for the truth table stated

  System of equations

Evaluate which equations are under-identified, just-identified, and over-identified.

  Linear programming problem

Linear programming problem consisting of only two constraints with one objective function.

  Find the natural domain

Find the natural domain of the given functions.

  Introduction to numerical methods

Compute the coecients of the polynomials using the term recurrence relation.

  Chart of the topological manifold

De?nition of smoothness of functions on a smooth manifold is chart independent and hence geometric.

  Mathematics in computing

Questions related on mathematics in computing.

  Complex problems

Complex problems

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd