Select ALL the correct answers.Natalie buys a new car. In the first month, the odometer on the car records 800 miles. From past experience, she expects to drive 900 miles per month.Select all the functions that can be used to find the number of miles, f(n), recorded on the odometer after n months.

Answer:[tex]\begin{aligned}\bullet\ &f(1)=800;f(n)=f(n-1)+900, \text{for $n\ge 2$}\\ \bullet\ & f(n)=900n-100\end{aligned}[/tex]Step-by-step explanation:See attachment for the figure. Using arithmetic sequence with a first term of 800 and a common difference of 900. The general form for such a sequence is given by, an = a1 +d(n -1)an = 800 +900(n -1) = 900n -100If n is the function, this can be written as,f(n) = 900n -100When considered as a recursive relation, we find the first term is still 800: f(1) = 800and that each term is 900 more than the previous one:f(n) = f(n-1) +900 . . . . for n ≥ 2You need to consider that huge numbers of the different answer decisions are debasements of either of these structures, so you should look at them cautiously.