Let n > 1, x be a real number, and a > -1. Prove the following statement using mathe- matical induction. (1 + x)" > 1 + nx

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter14: Sequences And Mathematical Induction
Section14.4: Mathematical Induction
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PROBLEM 3
Let n > 1, x be a real number, and x > -1. Prove the following statement using mathe-
matical induction.
(1 + x)" > 1 + nx
Transcribed Image Text:PROBLEM 3 Let n > 1, x be a real number, and x > -1. Prove the following statement using mathe- matical induction. (1 + x)" > 1 + nx
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