Nick recently started a landscaping company. he began with 3 3 clients. to word-of-mouth referrals, his clients double each month. how many clients will nick have after one year?

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:

Here,

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:

Thus, after 1 year the company started by Nick will have 6144 clients

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