Answer:
A) 9841
Step-by-step explanation:
Formula of geometric sequence:
[tex]S_n=\frac{a_1*(r^n-1)}{r-1} \\[/tex]
First, calculate the common ratio (r) of the sequence.
It can be calculated by dividing any term of the geometric sequence by the term preceding it.
[tex]r = \frac{27}{9}\\ \\r=3[/tex]
Then
[tex]Sum = \frac{1(3^9-1)}{3-1} \\\\Sum = \frac{3^9-1}{2}\\ \\Sum=\frac{19683-1}{2} \\\\Sum = \frac{19682}{2} \\\\Sum=9841[/tex]
