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Home > PC3 > Chapter 12 > Lesson 12.1.3 > Problem 12-43

12-43.

You know that . Here is a short proof to help justify the fact.

  1. Write . as an infinite geometric series.

    Represent each digit separately.

  2. What are the initial term and common ratio?

  3. Write and simplify an expression for the sum of the infinite geometric series.