The series is an arithmetic series.
The progression has a common difference of 1. You can tell because it involves a plus sign, which is indicative of an arithmetic progression,
A geometric progression would include multiplying the numbers by a certain amount. For example:
1, 3, 9, 27 ... 243
In this series, you multiply the numbers by three to get your answer.<span />
Answer is C how many pizzas are needed for 25 people
Answer:
Maximum: 1, Minimum: -3, Midline y = -1, Amplitude = 4, Period =
, Frequency
, equation : 
Step-by-step explanation:
<u>Sinusoid Functions</u>
It refers to the oscillating functions like the sine or cosine which range from a minimum and maximum value periodically.
The graph shown can give us all the information we need to answer these questions:
Maximum: 1
Minimum: -3
The midline goes through the center value (mean) of the max and min values, i.e.
Equation of the midline:

Amplitude is the difference between the maximum and minimum values

The period is the time it takes to complete a cycle. We can see the minimum value is first reached at x=0 and next at 
Thus the period is

The frequency is the reciprocal of the period:

The angular frequency is

The equation of the function is a negative cosine (since it starts at the minimum) or a shifted sine or cosine. We'll choose the negative cosine, knowing all the parameters:

This is the theory of algebra, to simply the expression we proceed as follows;
[sqrt(x-2)+5/sqrt(x-2)]/(x-2)
simplifying the numerator we get:
sqrt(x-2)+5/sqrt(x-2)
=[x-2+5]/sqrt(x-2)
=(x+3)/sqrt(x-2)
therefore our entire expression will be:
[(x+3)/sqrt(x-2)]/(x-2)
[(x+3)/(x-2)^(1/2)]*1/(x-2)
applying the law if indices we get
=(x+3)/(x-2)^(3/2)