In Exercises use the formula for the th partial sum of a geometric series

The sphereflake shown below is a computer-generated fractal that was created by Eric Haines. The radius of the large sphere is 1. To the large sphere, nine spheres of radius 1/3 are attached. To each of these, nine spheres of radius 1/9 are attached. This process is continued infinitely. Prove that the sphereflake has an infinite surface area.

Transcribed Image Text:

n α(1 Σ'ar = a(1 – r") Σαμ 1-r i=0