[50 Points] Officials in a town use a function to analyze traffic patterns. The function uses the rate of traffic through an intersection where the domain represents the number of observed vehicles in a specified time interval. What would be the most appropriate domain for the function? 1.{... -2, -1, 0, 1, 2, 3, ...)}

2.{ -2, -1, 0, 1, 2, 3}

3.{0, ½, 1, 1½, 2, 2½}

4.{0, 1, 2, 3, … }

n

step-by-step explanation:

the line of

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for