Answer:
f(n)=-5-3n
Step-by-step explanation:
Given the recursive formula of a sequence
f(1)=−8
f(n)=f(n−1)−3
We are to determine an explicit formula for the sequence.
f(2)=f(2-1)-3
=f(1)-3
=-8-3
f(2)=-11
f(3)=f(3-1)-3
=f(2)-3
=-11-3
f(3)=-14
We write the first few terms of the sequence.
-8, -11, -14, ...
This is an arithmetic sequence where the:
First term, a= -8
Common difference, d=-11-(-8)=-11+8
d=-3
The nth term of an arithmetic sequence is determined using the formula:
T(n)=a+(n-1)d
Substituting the derived values, we have:
T(n)=-8-3(n-1)
=-8-3n+3
T(n)=-5-3n
Therefore, the explicit formula for f(n) can be written as:
f(n)=-5-3n
It's the letter D hope it helps
Answer:
Step-by-step explanation:
1.0.39
2.0.33
3.Loose
4.0.14
I did the first four... hope that helps
Answer:
The correct option is A.
Step-by-step explanation:
The first line passing through the points (-6,2) and (-6,0).
The slope of a line is
The slope of first line is
The second line passing through the points (0,-4) and (-1,1). The slope of second line is
The third line passing through the points (0,-6) and (2,-6). The slope of third line is
The fourth line passing through the points (0,6) and (-3,-7). The slope of fourth line is
Since the slope of a vertical line is infinity, Therefore option A is correct.
4y=16
y is the variable. If you were to solve the equation you would write the equation as 4(4)=16.
