Step-by-step explanation:
this sequence is geometric not arithmetic
HOw we know that ??
when we get a common difference that must Be equal
d=6-2=4 not equal to d=18-6=12
So it is not arithmetic
but when we get the common ratio that also must be equal
r=6/2=18/6=54/18=3 equal
So it is geometric
By using this equation:
a(n)=a(1)*r^(n-1)
and we have a(1)=2 , r=3
<u>Explicit rule:</u> a(n)=2*(3)^(n-1)
<u>Recursive rule:</u> a(n)= r * a(n-1)
a(n-1) ⇒ priviuse term
SO: a(n)= 3 * a(n-1)
For example:
a(3)= 3 * 6 =18
<em>I really hope this helps <3</em>
Answer:
g(f(4)) = 9
Step-by-step explanation:
Fill in gf(x) for where x is in g(x): (x-7)²
Then, fill in 4 for where x is: (4-7)²
Square it: (-3)²
9
13000-5600=7400...that's about it, just multiply then subtract
Answer:

Step-by-step explanation:
So we have the inequality:

Definition of Absolute Value:

Note that the sign is flipped in the second case because we multiplied by a negative.
Add 5 to both sides to both equations:

Merge:

And we're done!