Answer:
So the x-intercept is (9,0) and the y-intercept is (0,-3).
So I'm going to graph both points and connect them with a straight-edge.
Step-by-step explanation:
I would graph this using it's x- and y-intercepts.
To find the x-intercept, set y=0.
-3x+9(0)=-27
-3x+0=-27
-3x=-27
Divide both sides by -3:
x=9
To find the y-intercept, set x=0:
-3(0)+9y=-27
0 +9y=-27
9y=-27
Divide both sides by 9:
y=-3
So the x-intercept is (9,0) and the y-intercept is (0,-3).
So I'm going to graph both points and connect them with a straight-edge.
Given:
The sequence is
1, 4, 16, 64
To find:
The general term of the given sequence.
Solution:
We have, the sequence
1, 4, 16, 64
Here, the ratio between two consecutive terms is same. So, it is a geometric sequence.
First term is:
Common ratio is:
The nth term of a geometric sequence is
...(i)
Where, a is the first term and r is the common ratio.
Putting a=1 and r=4 in (i), we get
Therefore, the general term of the given sequence is .