Answer
$0.00032$
Work Step by Step
First, we must determine the common ratio between the terms:
$r=\frac{-1}{5}=\frac{(\frac{1}{5})}{-1}=\frac{(\frac{-1}{25})}{(\frac{1}{5})}=-\frac{1}{5}$
For solving this, we will use the formula for the $nth$ term of the geometric series. $a_{n}=a_{1}\times r^{n-1}$. Then put correct value for $7th$ term to solve.
$a_{7}=5 \times (-\frac{1}{5})^{7-1}=0.00032$