Answer:
[tex]S_{12} = 19.376[/tex].
Step-by-step explanation:
Given : sequence which has a first term of 14 and has a common ratio of 1.03.
To find :Find the 12th term of the sequence .
Solution : We have given first term of 14 and has a common ratio of 1.03.
Sum of n terms ( [tex]S_{n} = a r^{n-1}[/tex].
Where, a = first term , r = common ratio and n = number of terms .
Then, Plug the values a = 14 , r = 1.03 , n = 12.
[tex]S_{12} = 14 (1.03)^{12-1}[/tex].
[tex]S_{12} = 14 (1.03)^{11}[/tex].
[tex]S_{12} = 14 ( 1.384)[/tex].
[tex]S_{12} =19.376[/tex].
Therefore, [tex]S_{12} = 19.376[/tex].
