Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Determine the validity of the ff. proof: Theorem: For every integer k, if k>0 then R+2k+1 is composite. "Proof: Suppose k is any integer such that k > 0. If k + 2k +1 is composite, then k + 2k + 1 = rs for some integers r and s such that 1

Determine the validity of the ff. proof: Theorem: For every integer k, if k>0 then R+2k+1 is composite. "Proof: Suppose k is any integer such that k > 0. If k + 2k +1 is composite, then k + 2k + 1 = rs for some integers r and s such that 1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
13
Question 13 Determine the validity of the ff. proof: Theorem: For every integer k, if k >0 then +2k +1 is composite. "Proof: Suppose k is any integer such that k > 0. If k + 2k + 1 is composite, then k + 2k +1 = rs for some integers r and s such that 1<r<R+2k+1 and 1<s<k?+2k +1. Since 2+2k+1 = rs and both r and s are strictly between 1 and K+ 2k + 1, then k + 2k + 1 is not prime. Hence K+ 2k+1 is composite as was to be shown." O Yes, it is valid O Not valid Insufficient information to find the answer Maybe
Transcribed Image Text:Question 13 Determine the validity of the ff. proof: Theorem: For every integer k, if k >0 then +2k +1 is composite. "Proof: Suppose k is any integer such that k > 0. If k + 2k + 1 is composite, then k + 2k +1 = rs for some integers r and s such that 1<r<R+2k+1 and 1<s<k?+2k +1. Since 2+2k+1 = rs and both r and s are strictly between 1 and K+ 2k + 1, then k + 2k + 1 is not prime. Hence K+ 2k+1 is composite as was to be shown." O Yes, it is valid O Not valid Insufficient information to find the answer Maybe
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS