Prove the following via Mathematical Induction. Show your solutions. Prove 1 + 5 + 9 + … + (4n – 3) = 2n2 – n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 6E
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Prove the following via Mathematical Induction. Show your solutions.

  1. Prove 1 + 5 + 9 + … + (4n – 3) = 2n2 – n
  2. Prove 3 + 7 + 11 + … + (4n – 1) = n(2n + 1)
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