Answer :
Given:
Number of vice presidents are =5 ,
And number of employees are 2375 ,
They cotenct each of the five employees and turn to next five ,
The sequence of the terms will be a geometric sequence ,
[tex]5,25,125,\ldots\ldots2375[/tex]Hnce the number of terms are ,
[tex]t_n=t_1r^{n-1}[/tex]In the series the common ratio is r=5,
And t1=5 and tn= 2375 therefore ,
[tex]\begin{gathered} 2375=5\times5^{n-1} \\ 5^{n-1}=\frac{2375}{5} \\ 5^{n-1}=475 \\ \end{gathered}[/tex]Taking log on both side ,
[tex]\begin{gathered} (n-1)\log 5=\log 475 \\ n-1=\frac{\log 475}{\log 5} \\ n=1+\frac{2.676}{0.698} \\ n=4.829 \end{gathered}[/tex]Hence the approximate value of the number of rounds is 5.
