What is a possible value for the missing term of the geometric sequence

Step-by-step explanation:

The given geometric sequence =

For a geometric sequence, the nth term is given by the formula

Since, the first term

Then, the third term =

From the given sequence, the third term =875

Now,

If r=5, then the second term =

If r=-5, then the second term =

Hence, the possible value for the missing term of the geometric sequence is

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.