Exercise 6.4 (1) For which natural numbers n is the number 3" + 1 divisible by 10? Find the remainder of the division of 1!+2!++50! by 7. (3) Is it true that 36 divides n¹ + n² +4 for infinitely many natural numbers n? Explain!

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.8: Adding And Subtracting Radicals
Problem 5E
icon
Related questions
Question
Also its not to prove for every n, just if there exists infinitely many ns that would make the statement true
D
Exercise 6.4 (1) For which natural numbers n is the number 3" + 1 divisible by 10?
Find the remainder of the division of 1!+21+ +50! by 7.
Is it true that 36 divides n¹ + n²+ 4 for infinitely many natural numbers n? Explain!
What are the possible values of the last digit of 4", m € N
47
Transcribed Image Text:D Exercise 6.4 (1) For which natural numbers n is the number 3" + 1 divisible by 10? Find the remainder of the division of 1!+21+ +50! by 7. Is it true that 36 divides n¹ + n²+ 4 for infinitely many natural numbers n? Explain! What are the possible values of the last digit of 4", m € N 47
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning