Write an equation for the nth term of the given geometric sequence
-12,-36,-108...an

nth term of the geometric sequence

an= -12*3^(n-1)

Step-by-step explanation:

First term

a= -12

Second term

ar= -36

-12r=-36

r=-36/-12

=3

Third term

ar^2= -108

-12(3)^2

= -12(9)

= -108

nth term of the geometric sequence

an=ar^(n-1)

= -12*3^(n-1)

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!