Answer
$a_{6}=\dfrac{243}{2}$
Work Step by Step
Using $a_n=a_1r^{n-1}$ or the $n$th term of a geometric sequence, then,
\begin{array}{l}
a_{6}=\dfrac{1}{2}(3)^{6-1}
\\\\
a_{6}=\dfrac{1}{2}(243)
\\\\
a_{6}=\dfrac{243}{2}
.\end{array}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 11 - Section 11.2 - Arithmetic and Geometric Sequences - Exercise Set - Page 646: 20
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