Answer:
a₆ = 243
Step-by-step explanation:
There is a common ratio between consecutive terms , that is
3 ÷ 1 = 9 ÷ 3 = 3
This indicates the sequence is geometric with nth term
[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 = 3 , then
a₆ = 1 × [tex]3^{5}[/tex] = 1 × 243 = 243
