. Prove each of the following by mathematical induction L. Σ/-2+ (p- 1p: É(42') = 2 + (n – 1)2** n+1 i=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 6E
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B. Prove each of the following by mathematical induction
1. Ži(2')= 2+(n-
(1n – 1)2"*1
n+1
i=1
2. 1° +3³ + 5³ +...+(2n – 1)' = n²(2n² – 1)
-
3. 2k 2 1+ k
Transcribed Image Text:B. Prove each of the following by mathematical induction 1. Ži(2')= 2+(n- (1n – 1)2"*1 n+1 i=1 2. 1° +3³ + 5³ +...+(2n – 1)' = n²(2n² – 1) - 3. 2k 2 1+ k
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