Jse induction to prove that for all n € N, 1 3 x 5 1 1 x 3 + + 1 + 5 x 7 + 1 (2n-1) (2n + 1) n 2n + 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 50E
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Use induction to prove that for all n € N,
1
+
3 x 5
1
1 x 3
+
1
+
5 x 7
+
1
(2n − 1)(2n +1)
=
n
2n + 1
Transcribed Image Text:Use induction to prove that for all n € N, 1 + 3 x 5 1 1 x 3 + 1 + 5 x 7 + 1 (2n − 1)(2n +1) = n 2n + 1
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