5. For all positive integer n, n³ +5n+6 is divis We use induction on n Then (n+12²³+ 5(n+1) 76 = n²³² +31²³²2w 135 (n+1) (ht? 1²72+1 (1)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.1: Ideals And Quotient Rings
Problem 19E: 19. Let and be nonzero integers. Prove that if and only if divides .
icon
Related questions
Question

Use induction method

5. For all positive integer n, n³ +5n+6 is divisible by 3. the Interior an
We usei in duction on n
TS
divi
Also
A:
Then (n+1)+ Scr+n) 16 = 6²
n²7 2n +1 (1)
3
2 195
Transcribed Image Text:5. For all positive integer n, n³ +5n+6 is divisible by 3. the Interior an We usei in duction on n TS divi Also A: Then (n+1)+ Scr+n) 16 = 6² n²7 2n +1 (1) 3 2 195
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning