Asap!
the first term in an arithmetic sequence is -4. the fourth term in the sequence is 5. the tenth term in the sequence is 23. which function can be used to find the nth term of the arithmetic sequence?
a: f(n) = -4 + 1/3(n -1)
b: f(n) = n - 4
c: f(n) = 3n - 7
d: f(n) = 3n

Option C: f(n) = 3n - 7

Step-by-step explanation:

we know that

The formula of an arithmetic sequence is

where

a_n is the nth term in the sequence

a_1 is the first term in the sequence

d is the common difference

In this problem we have

so

so

therefore

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.