EXAMPLE Prove that 1 1x2+2x3+ + 3x4 1 4x5 + ... + 1 (n − 1) n n = n-1

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter7: Polynomial Equations And Factoring
Section: Chapter Questions
Problem 8CA
Question

Using induction 

EXAMPLE
Prove that
1
1x2
+
1
2×3
+
1
3 × 4
+
1
4×5
A
+ ... +
1
(n − 1) n
=
n-1
n
Transcribed Image Text:EXAMPLE Prove that 1 1x2 + 1 2×3 + 1 3 × 4 + 1 4×5 A + ... + 1 (n − 1) n = n-1 n
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