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anonymous
 one year ago
I'll FAN & MEDAL!!
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 ?
anonymous
 one year ago
I'll FAN & MEDAL!! 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 ?

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SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1my connection has been very bad lately. finally got to the thread;)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1For a geometric sequence, starting from the first term \(a1\) and a common ratio \(\rm r\), the sum for \(\rm n\) number of terms (in the sequence) is given by the following formula. \(\large\color{black}{ \displaystyle {\rm S}_{\rm n}=\frac{a_1\times \left(1{\rm r}^{\rm n}\right) }{1{\rm r}} }\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1You need to add 8 terms, so your n is 8.  Your common ratio is ½, so r=½.  And your first term is 3, so \(a_1\)=3 

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Just plug this information into the formula, and calculate. Good luck:)
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