Answer:
6144 clients
Step-by-step explanation:
Number of clients in the beginning = 3
The number of clients doubled each month. This means for every month the number of clients was 2 times the previous month. This can be modeled by a geometric sequence, with first term as 3 and common ratio of 2.
The general formula for the geometric sequence is:
[tex]a_{n}=a_{1}(r)^{n-1}[/tex]
Here,
[tex]a_{1}[/tex] is the first term of the sequence which is 3
r is the common ratio which is 2 and n represents the number of term.
We need to calculate the number of clients after 1 year i.e. after 12 months. So here n will be 12. Using these values, we get:
[tex]a_{12}=3(2)^{12-1}=6144[/tex]
Thus, after 1 year the company started by Nick will have 6144 clients
Answer:
12,288
Step-by-step explanation:
all i did was multiple the previous outputs by 2.
3
6
12
24
48
96
192
384
768
1536
3072
6144
12288
