Answer:
The 38th term of 459,450,441,.. will be:

Step-by-step explanation:
Given the sequence

An arithmetic sequence has a constant difference 'd' and is defined by

computing the differences of all the adjacent terms

so

The first element of the sequence is

so the nth term will be


Putting n=38 to find the 38th term




Therefore, the 38th term of 459,450,441,.. will be:

add 4 each time
the nth term is a_n or f(n)
the next term after that is a_{n+1} or f(n+1)
so each term is 4 more than previous
basically
a_{n+1}=4+a_n or
f(n+1)=4+f(n)
same thing
A. The data in the table represent a function. y=x/2. This is seen as for every value of x in the table, y=x/2(half of it). You can show this further by trying this fact on each value.
B. For the original function, when x =8, y=x/2=4
For the function given in this part, when x=8, y=3(8)-10
y=24-10 y=14
This means the relation given in this part has a greater value when x=8
C. When x=80, f(x)=3(80)-10
=240-10
=230
The answer is b, as angles ABC is the first half of the angle.