Help please? Will fan and medal !

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Help please? Will fan and medal !

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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Diana received 65 points on a project for school. She can make changes and receive three-tenths of the missing points back. She can do this 10 times . Create the formula for the sum of this geometric series, and explain your steps in solving for the maximum grade Diana can receive.
first correction she gets 35(3/10 second correction she gets 35(3/10)^2 third correction she gets 35(3/10) ^3 And so on Added together we get ∑ 35(3/10)n+1 as n goes from 0 to ∞ 35(3/10) ∑ (3/10)n the sum of an infinite geometric series is a/(1-r) which in this case is 1/(7/10) = 10/7 35(3/10)(10/7) = 15 So maximum grade is 65 + 15 = 80 The series was converging because 0 < r < 1
@_greatmath7, Thank you very much, you're truly a life-saver! Granted you your medal... think you can help with a few more? ^^

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yep
of course
Thanks! But I'll go ahead and post it as a new question, so I can give you more medals, haha ^^
u don't have to but thanks. :)

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