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Answer:
[tex]a_{n}[/tex] = 1 [tex](5)^{n-1}[/tex]
Step-by-step explanation:
the explicit formula for a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 1 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{5}{1}[/tex] = 5 , then
[tex]a_{n}[/tex] = 1 [tex](5)^{n-1}[/tex]