Finding the sum of the first n terms in a geometric sequence
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Consider the geometric sequence
$latex u_{1}=9k$
$latex u_{2}=k^{2}$
$latex u_{3}=k$
a) Find the possible values for $latex k$.
b) Given that $latex k>0$, find the common ratio.
c) Find the sum of the first 3 terms.
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Answer:a) $latex k=\pm 3$
b) $latex r=\frac{1}{3}$
c) $latex S_{3}=39$
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Infinite geometric series