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Mathematics 14 Online
OpenStudy (larsa):

What is the sum of the first eight terms of a geometric series whose first term is 3 and whose common ratio is 1/2 ?

OpenStudy (anonymous):

it would be 3, 6, 12, 24, 48 .... so just keep going and add the first 8

OpenStudy (danjs):

First *(ratio)^(term number) 3*(1/2)^t

OpenStudy (danjs):

if t=0, you get 3, t=1 you get 3*1/2 , t=2 you get 3* 1/2 * 1/2 so on...

OpenStudy (danjs):

each next term is half of the previous term

OpenStudy (danjs):

3, 3/2, 3/4, 3/8 .....

OpenStudy (danjs):

here is a little thing http://www.regentsprep.org/Regents/math/algtrig/ATP2/GeoSeq.htm

OpenStudy (larsa):

answer choices A)3/128 B)255/128 C)765/128 D)255/256

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