Infinite Geometric Series

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Match

Determine if the following sums will be divergent or convergent

• 1 + 2 + 4 + 8 + 16 + ...

• 1 – 2 + 3 – 4 + 5 – 6 + …

• 1 + 0.5 + 0.25 + 0.125 + ...

Divergent

Divergent

Convergent

• Divergent

• Divergent

• Convergent

Infinite Series

Open Ended

Provided that $$\left|r\right|<1$$ , e.g., $$r=\frac{1}{2},\frac{1}{3},\frac{1}{5},\$$ and so on, what happen to $$r^n\ as\ r\rightarrow\infty$$ ?

Draw

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​EXAMPLE

​Recurring Number

Draw

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END OF LESSON