Ask your own question, for FREE!
Mathematics 7 Online
OpenStudy (anonymous):

Evaluate...

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.

OpenStudy (anonymous):

I'm still so lost

OpenStudy (anonymous):

@hartnn

OpenStudy (anonymous):

@gorv

OpenStudy (gorv):

it is a geomatric series

OpenStudy (gorv):

\[20\sum_{2}^{12} (0.5)^n-1\]

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

OpenStudy (gorv):

sorry total sum=20*GP

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!