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Finding Sum of Infinite Geometric Series

Learn to find the sum of an infinite geometric series with examples and step-by-step explanations. Practice converting repeating decimals to fractions.

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Finding Sum of Infinite Geometric Series

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  1. p.675 11.4 Infinite Geometric Series

  2. The sum of an infinite geometric series

  3. Example: Find the sum of the infinite geometric series. For this series, a1=2 & r=0.1

  4. Example: Find the sum of the series: So, a1=12 and r=1/3 S=18

  5. Example: An infinite geom. Series has a1=4 & a sum of 10. What is the common ratio? 10(1-r)=4 1-r = 2/5 -r = -3/5

  6. Example: Write 0.181818… as a fraction. 0.181818…=18(.01)+18(.01)2+18(.01)3+… Now use the rule for the sum!

  7. Assignment

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