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Mathematics
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OpenStudy (rocklionmba):
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.
11 years ago
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OpenStudy (rocklionmba):
@dumbcow @aaronq
11 years ago
OpenStudy (dumbcow):
\[35(\frac{3}{10} + \frac{3}{10}^2 +...\frac{3}{10}^{10})\]
11 years ago
OpenStudy (rocklionmba):
this is diverging... am I right?
11 years ago
OpenStudy (dumbcow):
no converging because 3/10 raised to big number goes to zero
11 years ago
OpenStudy (dumbcow):
formula for sum:
\[\frac{1-r^n}{1-r}\]
in this case r = 3/10
11 years ago
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OpenStudy (rocklionmba):
and then n would be 10 right?
11 years ago
OpenStudy (dumbcow):
yes
11 years ago
OpenStudy (rocklionmba):
(btw I leave and come back of a glitch in openstudy that does that) so then we first have to the r^n
11 years ago
OpenStudy (rocklionmba):
hoe do we get that? im bad with fractions
11 years ago
OpenStudy (dumbcow):
use a calculator .... (3/10)^10
11 years ago
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OpenStudy (rocklionmba):
0.0000059049
11 years ago
OpenStudy (rocklionmba):
I think I got it from here. thanks
11 years ago
OpenStudy (dumbcow):
ok :)
11 years ago
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