Answer:
see below
Step-by-step explanation:
-33, -27, -21, -15,....
-33 +6 = -27
-27+6 = -21
-21+6 = -15
This is an arithmetic sequence
The common difference is +6
explicit formula
an=a1+(n-1)d where n is the term number and d is the common difference
an = -33 + ( n-1) 6
an = -33 +6n -6
an = -39+6n
recursive formula
an+1 = an +6
10th term
n =10
a10 = -39+6*10
= -39+60
=21
sum formula
see image
The sum will diverge since we are adding infinite numbers
The point-slope form:
m - slope
(x₁, y₁) - point
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept → (0, b)
Convert the given equation to the slope-intercept form:
<em>use distributive property a(b + c) = ab + ac</em>
<em>add 2 to both sides</em>
It is a linear function. We only need two points to plot the graph.
The first point we have from point-slope form → x₁ = -6, y₁ = 2 → (-6, 2).
The second point we have from slope-intercept form → b = 5 → (0, 5)
