<u>Answer:</u>
The correct answer option is: 19, 13, 3, -11, -29.
<u>Step-by-step explanation:</u>
We are given the following explicit formula for an arithmetic sequence:
So to find the first five terms of this sequence, we will substitute the values of 
(num here in the given formula:
Therefore, the first five terms of the sequence defined by the explicit formula are 19, 13, 3, -11, -29.
Belongs to set of rational number.
<u>Solution:
</u>
Need to determine the set of real numbers does 
belongs to
; On first look it seems the given number belongs to set of rational number.
Rational number is the number which can be presented in the form of 
where p and q are integers and 
So in our case 
and 
.
So both numbers are integers and q is also not equal to zero. Hence we can conclude that belongs to set of rational number.
Answer:
-1/2
Step-by-step explanation:
-4 - -3 = -1
0 - -2 = 2
-1/2
Answer:
Slope = 2
Y-intercept = -4
Step-by-step explanation:
The slope of a function is found by finding the change in the y-values and dividing it in the change in x-values.
The change in y-values is 2 because that is the difference between each given data point. The change in x-values is 1 for the same reason.
The slope would be 2/1 which is just 2.
The y-intercept can be found by setting up the function in slope-intercept form (y=mx+b) and using the given data to solve for b. The point I chose to do this with was (2,0)
y=mx+b
y=2x+b
0=(2*2)+b
0=4+b
b=-4
So the slope is 2 and the y-intercept is -4.
