Rob and Jeni each recruit three people to be election campaign volunteers. The next week they ask each of those volunteers to recruit three more campaign volunteers. They want all new volunteers each week to recruit three more volunteers.

Answers

The number of volunteers recruited for the first 5 weeks is; 486 people

How to calculate the geometric sequence?

A geometric sequence is defined as a sequence in which the result of the division of consecutive terms is always the same, called common ratio r.

The nth term of a geometric sequence is given by:

aₙ = a₁rⁿ⁻¹

where;

a₁ is the first term

r is the common ratio

In this question, on the first week there are 6 people, and since each new people involve three more, the common ratio is 3, hence the parameters for the geometric sequence are:

a₁ = 6

r = 3

Hence the number of people after n weeks is:

aₙ = 6(3)ⁿ⁻¹

Thus, the number of volunteers recruited for the first 5 weeks is;

numberofvolunteers recruitedfor the first 5 weeks is; 486 people## How to calculate the geometric sequence?

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