The first term of a geometric sequence is -2 and the multiplier, or ratio, is -3. what is the sum of the first 5 terms of the sequence?
a. 162
b. 122
c. -122
d. -162

To determine the sum of the sequence, we can finfd the first five terms however it would be tedious. Instead, we can find the sum by the expression:

S(n) = a(1) ( 1 - r^n) / 1-r
S(5) = -2 (1 - (-3)^5) / 1-5
S(9) = 122 <OPTION B

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.

no association

step-by-step explanation:

if you have eyes and you can use them efficiently you can see that it just looks like random dots like do a line of best fit and like they're so spread out it's such a weak association you might as well consider it nonexistent