4-Prove using mathematical induction that for all n ≥ 1, U₁=1A₁ = =1Ã₁ j

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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4-Prove using mathematical induction that for all n ≥ 1,
U₁=1 Aj = =1Ãj
5- Prove using mathematical induction that for all n ≥ 1,
n
J-L
i=1
1
1
1
i(i+1) 1.2 2.3
+ +
n
1
3.4
j=1
3- Prove using mathematical induction that for all n ≥ 1,
+
=
1
n(n+1)
n(n+1)(2n + 1)
6
n
n+ 1
Transcribed Image Text:4-Prove using mathematical induction that for all n ≥ 1, U₁=1 Aj = =1Ãj 5- Prove using mathematical induction that for all n ≥ 1, n J-L i=1 1 1 1 i(i+1) 1.2 2.3 + + n 1 3.4 j=1 3- Prove using mathematical induction that for all n ≥ 1, + = 1 n(n+1) n(n+1)(2n + 1) 6 n n+ 1
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