Prove by mathematical induction that for any integer n>0, 1 3 X4 X5 + 2 4x5x6 + + n = (n + 2)(n+3)(n + 4) 1 6 - 1 n+ 3 + 2 (n + 3)(n+4)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 10T: Use mathematical induction to prove the formula for all integers n_1. 5+10+15+....+5n=5n(n+1)2
icon
Related questions
Question
Prove by mathematical induction that for any integer n>0,
1
3 X4 X5
+
2
4x5x6
+ +
n
(n + 2)(n+3)(n+ 4)
=
1
6
-
1
2
+
n + 3 (n+3)(n+4)
Transcribed Image Text:Prove by mathematical induction that for any integer n>0, 1 3 X4 X5 + 2 4x5x6 + + n (n + 2)(n+3)(n+ 4) = 1 6 - 1 2 + n + 3 (n+3)(n+4)
Expert Solution
steps

Step by step

Solved in 6 steps with 6 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
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