Answer:

Step-by-step explanation:
Recall the form of the difference of squares.

Now let's apply it to your numbers:

Simplify:

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:

Answer:
D 6
Step-by-step explanation:
substitute in 1 for x
2(1)= 2
2+4= 6
y=6 when x=1
Answer:
16
Step-by-step explanation: