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Mathematics 21 Online
OpenStudy (purplemexican):

@Hero

OpenStudy (purplemexican):

OpenStudy (purplemexican):

its 100

OpenStudy (mathstudent55):

The sum of an infinite geometric series is: \(\Large S_{\infty} = \dfrac{a_1}{1 - r}\) where \(a_1\) is the first term, and r is the common ratio.

OpenStudy (mathstudent55):

We have \(a_1 = 40\), and \(r = \dfrac{3}{5} \) \(\Large S_{\infty} = \dfrac{a_1}{1 - r}\) \(\Large S_{\infty} = \dfrac{40}{1 - \frac{3}{5}} = \dfrac{40}{\frac{2}{5}} = \dfrac{40\times5}{2} = 100\)

OpenStudy (mathstudent55):

You are correct.

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