Answer :
Today 8 people have the flu.
Each day the total number of people who have the flu is triple.
What day the people with flu will reach 5832?
The serie will be:
Using the following serie:
[tex]S=t_i*3^{n-1}[/tex]Where n is the days, q is the rate and ti is the first term:
Therefore:
ti=8
n=?
S=5832
Substituing:
[tex]5832=8*3^{n-1}[/tex]Solving for n:
[tex]\begin{gathered} \frac{5832}{8}=3^{n-1} \\ 729=3^{n-1} \\ Log_3(729)=n-1 \\ n=Log_3(729)+1=7 \end{gathered}[/tex]Answer: the people will reach 5832 in the day 7.