Let [tex]u_n[/tex] represent the number of bacteria after n months.
[tex]u_0=2[/tex] is the original number of bacteria
[tex]u_1=2*3=6[/tex]
[tex]u_2=2*3*3[/tex]
[tex]u_3=2*3*3*3[/tex]
so it is clear that :
[tex]u_n=2* 3^{n} [/tex]
After 24 months, there will be [tex]u_2_4=2* 3^{24} [/tex] many bacteria.
Answer:
the equation:
[tex]u_n=2* 3^{n} [/tex], where u_n is the number of bacteria after n months,
[tex]u_2_4=2* 3^{24} [/tex]
