Find the 66th term of the arithmetic sequence 25, 10, -5, ..

-950

Step-by-step explanation:

Arithmetic sequence=a+(n-1)d

a=first number

n=nth term

d=difference

a=25

n=66

d=-15

So let's solve

25+(66-1)(-15)

25+(65)(-15)

25-975

-950

So the 66th terms is -950

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

2.83941151 would be the answer you're looking for! : )