Answer:
steps below
Step-by-step explanation:
aₙ = a₁ * rⁿ⁻¹
a₁ * r²⁻¹ = 6
a₁ * r = 6 ... (1)
a₁ * r⁵ = 1458 ... (2)
(2)/(1) : r⁴ = 243 r = ±3 [tex]\sqrt[4]{3\\}[/tex]
if r = 3 [tex]\sqrt[4]{3\\}[/tex]
[tex]a_{1} = 6 / 3\sqrt[4]{3} \\a_{1} = \frac{2}{3} \sqrt[4]{27}[/tex]
if r = -3 [tex]\sqrt[4]{3\\}[/tex]
[tex]a_{1} = -\frac{2}{3} \sqrt[4]{27}[/tex]
