1.2 #2 3 Prove 1³ +2³+...+N³ = [ ½/2N (N+1)] ² for all NEN show N=1 1³= 1 [1/2₂ (1) (1 +D]² >> ½/₂2 (²) → ¾/2=1 ✓ Assume KEN 3 Apply Pht! 3 1 ³+2 ³+ ... + K³ = [ ½/₂K/K+D]² 1³ +2³+ ... + K³ + (K+1) ³ = [/₂ K (K+1)] ² + (+1) = [/2₂(K+1)K] ² + (K+1) [1/₂2(K+1)(h+2)]²
1.2 #2 3 Prove 1³ +2³+...+N³ = [ ½/2N (N+1)] ² for all NEN show N=1 1³= 1 [1/2₂ (1) (1 +D]² >> ½/₂2 (²) → ¾/2=1 ✓ Assume KEN 3 Apply Pht! 3 1 ³+2 ³+ ... + K³ = [ ½/₂K/K+D]² 1³ +2³+ ... + K³ + (K+1) ³ = [/₂ K (K+1)] ² + (+1) = [/2₂(K+1)K] ² + (K+1) [1/₂2(K+1)(h+2)]²
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
Expert Solution
Step 1: Define the problem
To prove :-
Step by step
Solved in 4 steps with 12 images
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education