Two students start a club the first week of school. each member invites three new members the second week of school. each of these new members then invites three additional members the following week. if the pattern of each new member inviting three new members each week continues, how many members will be in the club after five weeks? 80 students 121 students 242 students 363 students

242 students

Step-by-step explanation:

We are given that initially there were 2 members.

Each member invites three new members the second week of school. Each of these new members then invites three additional members the following week.

Now We are supposed to find how many members will be in the club after five weeks

Exponential function

where a is the initial amount

b is the rate

So, a = 2

b = 3 = rate

So, A.T.Q

We will start from week 0 to week 5

Hence there will be 242 students after 5 weeks.

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step-by-step explanation: