Prove the following result in three ways (as in Theorem 2.4): If n is an odd integer,

Question:

Prove the following result in three ways (as in Theorem 2.4): If n is an odd integer, then n + 11 is even.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

See More Books

Question Posted: Jun 21, 2016 08:09 AM

See More Questions

Prove Theorem. Ea??. E(SSA) = (k - 1)o? n i=1
Prove Theorem F in two ways.
Prove Theorem 5.4.6. One approach is to adapt the proof of Theorem 5.3.4 by replacing n by nT in that proof. The steps of the proof that are significantly different are the following. (i) You will...
The net income for Rips Curling Corp. for the year ended December 31, 2021, was $700,000. Rip had 50,000 ordinary shares outstanding at the beginning of the year. Rip declared and distributed a...
The Colonial House Furniture Company manufactures four-drawer oak filing cabinets in six stages. In the first stage, the boards forming the walls of the cabinet are cut; in the second stage, the...
The Florida State League is a minor league baseball organization with teams in Bradenton, Charlotte County, Clearwater, Daytona, Dunedin, Fort Myers, Jupiter, Lakeland, Osceola County, Palm Beach,...
Calculate the range for each of the following sets of data: a. $9,10,13$ b. $5,3,9,12$ c. $6,2,8,12,9,5,7$ d. $8,4,1,6,14,9,12,5,11,7,4$ e....
Name and briefly describe the five product mix pricing decisions.
3. May 9: Derby's engineering staff complete the train design and it is approved by officials from OM as well as the Transportation Safety Board. 4. August 1: Derby completes construction of the 10...
On July 1, 2015, ABC Co. issued 10-year, $4,574 million maturity value, 3% coupon bonds when the market rate was 2% for a cash price of $4,994 million. Interest was payable semi-annually on Dec. 31...
Prove that for every integer n, n2 is even if and only if n is even.
Let m, n be two positive integers. Prove that if m, n are perfect squares, then the product mn is also a perfect square.
Assume that one of your relatives, on your behalf, invested $100,000 in a trust holding S&P 500 stocks at the beginning of 1926. Using the data in Table 66, determine the value of this trust at the...
Use the method of substitution to solve the following system of linear equations. The answer will be a coordinate point with integer values of x and y. x-2y= -4 3x + y = -5 A/
Find the indicated value. (Simplify the answer as much as possible.) 8! 41.41
Marwick s Pianos, Incorporated, purchases pianos from a large manufacturer for an average cost of $ 1 , 4 9 9 per unit and then sells them to retail customers for an average price of $ 2 , 3 0 0...
On January 1, 2022, ABC acquired 80% of XYZ voting shares for $200,000. As of that date, XYZ reported in its equity section of the balance sheet common shares outstanding of $75,000 and retained...
Splish Repair Shop had the following transactions during the first month of business as a proprietorship. Journalize the transactions. (If no entry is required, select "No entry" for the account...
Peppers Lockdown produces keys for homes and cars. As Peppers planned for next years production, the company decided to implement a high-low system to forecast future costs. With total production of...
If the annual fixed costs are 54,000 dinars, the occupation expense represents 20%, the contribution margin is 25%, and the unit selling price is 40 dinars. Required: Calculate the closing point of...
List all possible rational zeros of the function. a. f (x) = x5 - 3x2 + 1 b. f (x) = x7 + 37x5 - 6x2 + 12 c. f (x) = 2x4 - 3x3 - x + 8
For each polynomial function: a) Find the rational zeros and then the other zeros; that is, solve f (x) = 0. b) Factor f (x) into linear factors. 1. f(x) = x3 + 3x2 - 2x - 6 2. f(x) = x3 - x2 - 3x +...
Find only the rational zeros of the function. a. f(x) = x4 + 2x3 - 5x2 - 4x + 6 b. f(x) = x4 - 3x3 - 9x2 - 3x - 10 c. f(x) = x3 - x2 - 4x + 3
Use the information below to answer the questions that follow. U.S. $ EQUIVALENT U.K. pound () 1.5939 Canada dollar (Can$) 1.0091 a. Which would you rather have, $100 or 100? CURRENCY PER U.S. $...
What are the molecular mechanisms underlying cellular respiration, and how do they facilitate the conversion of chemical energy stored in organic molecules into adenosine triphosphate (ATP) for...
How can advancements in respiratory diagnostics, imaging modalities, and pulmonary rehabilitation techniques enhance our understanding of respiratory pathophysiology and improve clinical management...

Prove the following result in three ways (as in Theorem 2.4): If n is an odd integer,

Question:

Step by Step Answer:

Proof 1 Since n is odd we have n 2a 1 for some integer a Then n 11 2a 1 11 2a 12 2...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

Students also viewed these Linear Algebra questions