Answer
$a_{n}=5\times \left( -2\right) ^{n-1} =-10\left( -2\right) ^{n};$
$a_{5}=320$
Work Step by Step
$a_{n}=a_{1}r^{n-1}\Rightarrow $
$a_{n}=5\times \left( -2\right) ^{n-1}=-10\left( -2\right) ^{n};$
$a_{5}=-10\left( -2\right) ^{5}=320$
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