<span>the sequence is geometric, with the common ratio being 1/6 (48 * 1/6 = 8
The formula for a geometric sequence is cr^n where "c" is a constan</span>t <span> and "r" is the common ratio 
=48(1/6)^n. 
A geometric series converges only if the absolute value of the common ratio is < It diverges if the ratio is >or equal to 1.
 the ratio is 1/6, so the sequence converges. 
Now in this case, the limit seems to approach 0,
 values can only keep getting smaller.
 If the limit approaches 0, then the series will converge to a definite sum 
 S = c / (1 - are) 
S = 48 / (1 - 1/6) 
S = 57.6 
series converges, has a limit of 0, 
 sum of 57.6.
hope this helps</span>
        
             
        
        
        
Answer:
x intercept = 16
y intercept = 4
Step-by-step explanation:
For the x intercept...y = 0...where the equation would be...x + 4(0) = 16..hence giving us the x intercept as... x = 16
For the y intercept...x = 0...where if we substitute x = 0 into our equation...the equation would be....0 + 4y = 16..hence giving us..., 4y = 16...divide both sides by 4...y = 4
 
        
             
        
        
        
Answer:

Step-by-step explanation:
Let the side length of the square base =s feet
Let the height of the box = h
Given that the volume of the box = 
Volume of the box =
Then:

Surface Area of a Rectangular Prism =2(lb+bh+lh)
Since we have a square base, l=b=s feet
Therefore:
Surface Area of our closed box

 
        
             
        
        
        
Answer:
30
Step-by-step explanation:
3 x 2 x 5 equals 30
 
        
             
        
        
        
Answer: C.V=C1.V1 +C2.V2
Step-by-step explanation: C=(C1V1 + C2V2)/V -> C=(20%.V+25%V)/2V-> C=22,5%