Answer:

Step-by-step explanation:
<u>Geometric Sequence</u>
In geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.
We are given the sequence:
48, 72, 108, ...
The common ratio is found by dividing the second term by the first term:

To ensure this is a geometric sequence, we use the ratio just calculated to find the third term a3=72*1.5=108.
Now we are sure this is a geometric sequence, we use the general term formula:

Where a1=48 and r=1.5

For example, to find the 5th term:

Answer:
y = 3x - 1
The slope intercept is -1.
To find the slope, do the formula (y sub2 minus y sub1)/(x sub2 minus x sub1) then reduce.
(14 - (-10))(5 - (-3)) = 24/8
24/8 = 3
Y= x+ (x-1) ^1/3-1
y+1=x+(x-1) ^1/3
(1/3)1/3=0
y+1(1/3)= x+(x+1)
y/3=x+(x+1)
y/3=2x+1
(y/3)(2/1)=x+1
2y/3-1=x
g(x)= (2y/3-1)⁻⁻¹
Put the numbers where the corresponding variables are, then do the arithmetic.
... 20·3 + 25·4 -10 = 60 +100 -10 = 150