Find the 96th term of the arithmetic sequence –16, -28, -40, ...

-1152

Step-by-step explanation:

F(1)=-16

F(2)=-28

F(3)=-40

Notice the sequence is decreasing by -12 for every increase in x

You can conclude the function for this sequence is going to be

F(x)=-12x

Plug 96 as X.

F(96)=-1152

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

19

step-by-step explanation: