Answer:
177147
Step-by-step explanation:
Note there is a common ratio r between consecutive terms in the series, that is
27 ÷ 9 = 81 ÷ 27 = 243 ÷ 81 = 3
This indicates the series is geometric with n th term
[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]
where a is the first term and r the common ratio
Here a = 9 and r = 3, thus
[tex]a_{10}[/tex] = 9 × [tex]3^{9}[/tex] = 9 × 19683 = 177147
