Answer:

Step-by-step explanation:
we know that
The <u>Triangle Inequality Theorem</u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
so
Applying the Theorem
case 1) 



case 2) 


-----> rewrite
case 3) 



therefore

324 / (1/4) = 7776
You then have to take its 5th root and that's the geometric ratio. Which is 6.
<span>So the sequence is 1/24, 1/4, 3/2, 9, 54, 324</span>
Answer:
80
Step-by-step explanation:
Let's write out the equation:
8(20+80/2)/[(54/9+14)/4]
For the first part we get 8(100/2)
Then 50x8
Then 400
For the second part we have (6+14)/4 as we divide 54 by 9. PEMDAS
Then 20/4
Then 5
So our final answer is 400/5 which is 80.
Hope this helps!