Answer:
The general rule for the nth term of this sequence will be:

Step-by-step explanation:
Given the sequence
12a, 15a, 18a, 21a, 24a,...
An arithmetic sequence has a constant difference 'd' and is defined by

Here,
a₁ = 12a
computing the differences of all the adjacent terms
d = 15a-12a = 3a, d = 18a-15a=3a, d=21a-18a=3a, d=24a-21a=3a
using the nth term formula

substituting a₁ = 12a, d = 3a



Therefore, the general rule for the nth term of this sequence will be:

What you would do is that you would use the y=mx+b linear equation
m=5
x=-1
y=-3
b=?
hence, you must solve b to have the equation
-3=(5)(-1)+b
-3=-5+b
-3+5=b
2=b
therefore the equation is
y=5x+2
for standard form you just move everything to equal 0 because there is no fraction next to the x
thus
-5x+y-2=0
Answer:
subtract 2 from both sides
Step-by-step explanation:
if you subtract 2 from both sides you will get k=3
Answer:
going upp then downn
Step-by-step explanation: