11'5 Geometric Series and Mathematical Induction

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11.5 Geometric Series and Mathematical Induction
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Objectives

• Find the sum of the first n terms of a geometric
  series.
• Use mathematical induction to prove statements
  about natural numbers.

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The outer triangle is equilateral with side
lengths of 12 inches. The vertices of each inner
triangle lie on the midpoints of the sides of the
larger triangle.
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Geometric Series
Example
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Mathematical Induction
To prove that a statement is true for all natural
numbers n Basis Step Show that the statement
is true for n 1. Induction Step Assume the
statement is true for a natural number, k. Then
prove that it is true for the natural number k
1.
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This is the statement to be proved
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