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Mathematics 8 Online
OpenStudy (anonymous):

Find the sum of the infinite series.

OpenStudy (anonymous):

OpenStudy (freckles):

that is just a geometric series is it not?

OpenStudy (anonymous):

So a =1 and r= 1/sqrt{3} ^ n?

OpenStudy (anonymous):

1/sqrt{3}?

OpenStudy (freckles):

\[\frac{1}{(\sqrt{3})^n}=(\frac{1}{\sqrt{3}})^n\]

OpenStudy (anonymous):

Okay!!

OpenStudy (freckles):

so r=1/sqrt(3)

OpenStudy (anonymous):

How did you know it was a geometric series?

OpenStudy (anonymous):

What is a? Is it just 1?

OpenStudy (freckles):

yep

OpenStudy (anonymous):

Oh ok

OpenStudy (freckles):

\[\frac{1}{(\sqrt{3})^n}=(\frac{1}{\sqrt{3}})^n=1 \cdot (\frac{1}{\sqrt{3}})^n\]

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