Given,
The number of friends to whom Mia told about band is 3.
Each person have to told to 3 person.
Required:
The 7 th term of the series.
The first term of the series is 3.
The sequence of the condition is:
3, 9, 27, 81, 243, .......
To get the next term, multiply 3.
This means there is a Common ratio.
This is a Geometric sequence.
After 7 rounds, the total number of people are,
[tex]\begin{gathered} a_n=ar^{n-1} \\ a_7=ar^{7-1} \\ a_7=ar^6 \\ a_7=3(3)^6 \\ a_7=3\times729 \\ a_7=2187 \end{gathered}[/tex]
After 7 rounds, the total number of people are 2187.
