Question

Susan starts her own telemarketing company by recruiting 3 employees into what she calls Recruiting Group 1. She requires each employee in Recruiting Group 1 to recruit 3 additional employees for Recruiting Group 2. The employees in each successive recruiting group must meet the same requirement of recruiting 3 additional employees

Answer 1

The number of employees recruited into each group of the telemarketing company can be modeled by the function : $N(n) = {3}^{n}$

The number of employees recruited per person = 3

Therefore, the total number of employees in any given group, n can be modeled as :

$N(n) = {3}^{n}$

Where n = number of group.

This follows that :

For Group 1 ; n = 1

• $N(1) = {3}^{1} = 3$

For Group 2 ; n = 2

• $N(2) = {3}^{2} = 9$

For Group 3 ; n = 3

• $N(3) = {3}^{3} = 27$

Therefore, the function $N(n) = {3}^{n}$ will give the Number of employees in any given group.

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