The answer is in the attachment
Answer:
y= -20
Step-by-step explanation:
N=1→f(n)=f(1)=-5.25 (First term)
f(n)=f(n-1)+1.75, for n=2, 3, 4, ...
Second term:
n=2→f(2)=f(2-1)+1.75=f(1)+1.75=-5.25+1.75→f(2)=-3.5
Third term:
n=3→f(3)=f(3-1)+1.75=f(2)+1.75=-3.5+1.75→f(3)=-1.75
Fourth term:
n=4→f(4)=f(4-1)+1.75=f(3)+1.75=-1.75+1.75→f(4)=0
Fifth term:
n=5→f(5)=f(5-1)+1.75=f(4)+1.75=0+1.75→f(5)=1.75
Answer:
Sequence of the terms:
First, second, third, fourth, fifth:
-5.25, -3.5, -1.75, 0, 1.75
Step-by-step explanation:
First step:
Calculate a slope.
The formula of a slope:

The slope-intercept form of an equation of a line:

m - slope
b - y-intercept
We have the points (5, -4) and (-1, 8). Substitute:

Put the value of the slope and the coordinates of the point (5, -4) to the equation of a line:

<em>add 10 to both sides</em>

Finally:

Simply just divide 5 and 3/5:
5/(3/5)=25/3
Therefore, 5 cups of birdseeds will last 25/3 days.