Identify the correct formula for the following sequence. 2, -4, -10, -16, -22, ...
A. an = 6n - 8
B. an = -8n + 6
C. an = 8n - 6
D. an = -6n + 8

D

Step-by-step explanation:

The terms in the sequence have a common difference d between consecutive terms, that is

d = - 4 - 2 = - 10 - ( - 4) = - 16 - (- 10) = - 22 - (- 16) = - 6

This indicates the sequence is arithmetic with n th term

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = - 6, thus

= 2 - 6(n - 1) = 2 - 6n + 6 = - 6n + 8 → D

46 dollars is the answer.

step-by-step explanation:

6*6 = 36,         36+10=46

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.