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OpenStudy (anonymous):
evaluate what?
OpenStudy (anonymous):
\[\sum_{n=3}^{12}20(0.5)^{n-1}\]
OpenStudy (anonymous):
A. 9.99
B. 19.95
C. 29.98
D. 39.96
OpenStudy (anonymous):
I have no idea what to do :/
OpenStudy (anonymous):
The summation is summing up a geometric series starting with 3 and ending at 12.
The series you are summing up is 20(.5)^(n-1).
Use the formula for the sum of ageometric series, starting with 3 and ending with 12.
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OpenStudy (anonymous):
I'm still so lost
OpenStudy (anonymous):
@hartnn
OpenStudy (anonymous):
@gorv
OpenStudy (gorv):
it is a geomatric series
OpenStudy (gorv):
\[20\sum_{2}^{12} (0.5)^n-1\]
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OpenStudy (gorv):
\[20\sum_{2}^{12} (0.5)^(n-1)\]
OpenStudy (gorv):
20(0.5^(2-1)+0.5^(3-1)+.............+0.5^(12-1))
20(0.5^1 + 0.5^2 + 0.5 ^3 + .................+0.5^11)
it is a g.p inside the brackket
with a=0.5 and r=0.5
OpenStudy (gorv):
use the summition formula of g.p
OpenStudy (gorv):
@P.nut1996
OpenStudy (gorv):
GP=a(1-r^n)/(1-r)
where n is number of terms =11
total sum=10*GP
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