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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 ?

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  1. SolomonZelman
    • one year ago
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    my connection has been very bad lately. finally got to the thread;)

  2. SolomonZelman
    • one year ago
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    For 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. \(\large\color{black}{ \displaystyle {\rm S}_{\rm n}=\frac{a_1\times \left(1-{\rm r}^{\rm n}\right) }{1-{\rm r}} }\)

  3. SolomonZelman
    • one year ago
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    You 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 -----------------------------------

  4. SolomonZelman
    • one year ago
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    Just plug this information into the formula, and calculate. Good luck:)

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