Question

Instructions: Using the real world scenario given, answer the following questions.

Answer 1

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,

`\begin{gathered} a_n=ar^(n-1) \\ a_7=ar^(7-1) \\ a_7=ar^6 \\ a_7=3(3)^6 \\ a_7=3*729 \\ a_7=2187 \end{gathered}`

After 7 rounds, the total number of people are 2187.