Answer:
a(n) =
Step-by-step explanation:
The given expression is in the form of the explicit formula of a geometric sequence.
f(n) =
Where 'a' = First term of the sequence
r = common ratio
Recursive formula of a geometric sequence is,
a(n) =
a(n) =
Where,
So the recursive formula will be a(n) =
Slope intercept form: y = mx + b
mx = slope
b = y-intercept
We know the y intercept is 0, so nothing will be written there.
To find the slope of this line, we can use the slope formula.
We'll use the points (1, 0) and (3, 1) to find the slope.
Now we can just plug these values into the equation to find the slope.
1 - 0 / 3 - 1
1 / 2
The slope of the line is 1/2, or 0.5.
The slope-intercept form of this line can be written as:
y = 0.5x