Find the sum of , if it exists.

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Presentation transcript:

Find the sum of , if it exists. Needs to be between -1<r<1 Find the sum of , if it exists. First, find the value of r to determine if the sum exists. the sum does not exist. Answer: The sum does not exist. Example 5-1a

Find the sum of , if it exists. the sum exists. Example 5-1a

Now use the formula for the sum of an infinite geometric series. Sum formula Simplify. Answer: The sum of the series is 2. Example 5-1a

Find the sum of each infinite geometric series, if it exists. a. b. Answer: no sum Answer: 2 Example 5-1b

In this infinite geometric series, Evaluate In this infinite geometric series, Sum formula Simplify. Example 5-2a

Answer: Thus, Example 5-2a

Evaluate n = 1 Answer: 3 Example 5-2b

Write the repeating decimal as a sum. Write as a fraction. Method 1 Write the repeating decimal as a sum. Example 5-3a

In this series, Sum formula