The sequence is an geometric progression;
Nth=a₁r^(n-1)
a₁ is the first term=-1
r=ratio=a₂/a₁=6/-1=-6
Nth=-1(-6^(n-1)
NTh=an
a₁=-1(-6⁰)=-1
a₂=-1(-6¹)=6
a₃=-1(-6²)=-36
a₄=-1(-6³)=216
therefore this serie is rising at an increasing fast speed, it is an geometric progression.
        
             
        
        
        
Answer:
1
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Area of the base = 
Step-by-step explanation:
We know that volume of rectangular prism = (Area of base) x (Height)
or [Area of base] = [Volume]/[Height]
So basically we need to divide given area by given height to find the answer.
given height is (x+2) that means (x+2) must be factor of volume equation
or x=-2 must be root of volume equation so write down coefficients of volume equation then we divide by -2 as shown in attached picture.
Last digit on the right is always remainder.
Remaining coefficients {2, 5, -18} will give the area equation: 
Hence final answer is:
Area of the base = 
 
        
             
        
        
        
X=36 because 1/3 times 36 equals 12