Answer: [tex]a_n=2(5)^{n-2}[/tex]
Step-by-step explanation:
The explicit rule for a geometric sequence is: [tex]a_n=a_1(r)^{n-1}\quad \text{where}\ a_1\ \text{is the first term and r is the ratio}[/tex]
The information provided is: a₁ = [tex]\dfrac{2}{5}[/tex] and r = 5
[tex]a_n=\dfrac{2}{5}(5)^{n - 1}\\\\.\quad = 2(5)^{n-2}[/tex]
