find the sum of the infinite geometric series, if it exists. -30 -6 -6/5 -6/25 -.....

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find the sum of the infinite geometric series, if it exists. -30 -6 -6/5 -6/25 -.....

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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is it times 5? do not exist is an answer choice
does not exist*
r is not 5, it's 1/5 (dividing by 5 = multiplying by 1/5). \[S_n=\frac{ a_1 }{ 1-r }\]

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a_1 is the first term and r is 1/5
a_1=-30 a_2= -30/1-1/5?
\(\frac{ -30 }{ 1-\frac{ 1 }{ 5 } }\) is the sum of the series. you don't need any term other than the first one. All you have to do is simplify that to one number
37.5 = -75/2
that's the answer
ok cool thank you!
you're welcome

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