A club began with 3 members. Each month, each member brought one new member. Which function can be used to determine the number of members x months after the club began

Step-by-step explanation:

The initial members in the club = 3

⇒ a   =   3

Also, let us assume the needed function is denoted by C(x).

Now, each member brings one new member in the club in 1 month.

So,  the number of members in club after 1 month

= Initial members + Addition of members

=  3 +  3  =  6

or ,

Now, at the starting of second month, initial members = 6

Each member brings 1 new member.

So, the number of new members at the end of second month = 6

Total members at the end of second month = 6+  6 = 12

Continuing the same way, we can see that:

The number of members in club after x months is:

Hence, the needed function is  :

32

step-by-step explanation:

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