In x th month, members = [tex]3^{2x}[/tex]. Option D.
Step-by-step explanation:
Given,
Initially number of members = 3
Every month each member brought 1 new member.
To find the number of members after x months.
Solution:
In 1st month, members = 3
In 2nd month, members = 3×3 = 9 = 3²
In 3rd month, members = 9×9 = 81 = [tex]3^{4}[/tex]
In 4th month, members = 81×81 = 81 = 6561 = [tex]3^{8}[/tex]
Hence,
In x th month, members = [tex]3^{2x}[/tex]
