Figure 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 5E
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A hemispherical bubble is placed on a spherical bubble of radius 1. A smaller hemispherical bubble is then placed on the first one. This process is continued until n chambers, including the sphere are formed. (Figure 2 shows the case where n = 4 ) Use mathematical induction to prove that the maximum height of any bubble tower with n chambers is 1 + √n.

Figure 2
Transcribed Image Text:Figure 2
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