Complete the sequence of numbers in the set. Explain the pattern. The completed sequence of numbers is 8.5, 7.15, 5.8, blank and
blank. fill it in

Step-by-step explanation:

The first step to solve this question is to analyze the given sequence.

We can notice that the difference between 8.5 and 7.15 is

And again the difference between the second and the third term is :

One way to describe all the numbers in the sequence is by using a formula.

We can write :

Given the sequence

with ∈ I

For example :

  which verifies our original sequence.

We can obtain any term we want of the sequence.

Some of the terms that complete the sequence are :

56

step-by-step explanation:

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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