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Consider the following statement: 1 +4+7+···+(3n−2) = n(3n−1)/2 Use the Principle of Mathematical Induction to prove that the above equation holds for all n ∈N.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.4: Mathematical Induction

Problem 30E

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Consider the following statement: 1 +4+7+···+(3n−2) = n(3n−1)/2 Use the Principle of Mathematical Induction to prove that the above equation holds for all n ∈N.

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