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OpenStudy (anonymous):
find the sum of the infinite geometric series 3-sqrt(3)+1-
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OpenStudy (anonymous):
\[3-\sqrt{3}+1-...\]
OpenStudy (anonymous):
\[ =3\cdot \sum^\infty_{k=0} \left(-\frac{1}{\sqrt{3}}\right)^k \] Use the formula for geometric series!
OpenStudy (anonymous):
\[ = \frac{3}{1+1/\sqrt{3}} = 9\, \left( 3+\sqrt {3} \right) ^{-1} \]
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