I'm guessing D, but no so sure.
Answer:
f(4)=-3
Step-by-step explanation:
f(1)=2
f(n)=f(n-1)^2-n
If n=2
f(2)=f(2-1)^2-2
f(2)=f(1)^2-2
f(2)=2^2-2
f(2)=4-2
f(2)=2
If n=3
f(3)=f(3-1)^2 - 3
f(3)=f(2)^2 - 3
f(3)=2^2-3
f(3)=4-3
f(3)=1
if n=4
f(4)=f(4-1)^2 - 4
f(4)=f(3)^2 - 4
f(4)=1^2 - 4
f(4)=1-4
f(4)=-3
<span>3/20: 0.15
7/50: 0.14
9/25: 0.36
4/15: 0.266667
1/9: 0.111111
9/40: 0.225
5/16: 0.3125
7/9: 0.777778
13/20: 0.65
37/50: 0.74
11/30: 0.366667
19/40: </span>0.475
Answer:
y = -2x+11
Step-by-step explanation:
If we have a slope and a line, we can use the slope intercept form of a line
y-y1 = m(x-x1)
where (x1,y1) is the point and m is the slope.
Substitute in what we know
y-5 = -2 (x-3)
We want it in slope intercept form which is y = mx+b
Distribute the -2
y-5 = -2x+6
Add 5 to each side
y-5+5 = -2x +11
This sequence is arithmetic, because each number is the last number plus two.