Question

Jill has been watching the squirrels that live in her neighborhood. The number of squirrels changes each week.
n f(n)
1 8
2 12
3 18
4 27

Which function best shows the relationship between n and f(n)?

Answer 1

f(n) = 12(1.5)n
f(n) = 12(1.5)n-1
f(n) = 8(1.5)n
f(n) = 8(1.5)n-1

Answer 2

I'd suggest that you analyze this data:

1 8
2 12
3 18
4 27

and determine how each new value of f(n) is obtained from the previous value.
Is this an arithmetic or a geometric sequence? How do you know?

Answer 3

what is the first term of the given sequence? Which letter of the alphabet do we often choose to represent the first term?

Answer 4

Umm is there another way of explain it cuz I don't really get it?

Answer 5

the topic here is geometric sequences. Have you read up on that, either online or in any printed course materials that you may have?

Answer 6

I do but I don't really get it

Answer 7

First term: 8.
Second term: 12.

Given that this is a geometric (not arithmetic) sequence, what is the common ratio, r?
Note: the common ratio, r, is the quantity by which we multiply the first term to get the second term. What is r?

Answer 8

4

Answer 9

So, you're saying that r is 4.

Is 8(4) = 12?
Again, 8 is the first term and 12 is the second term.

If this is not correct, try again to find r. solve: 8r=12.

Answer 10

You can times anything by 8 to get 12

Answer 11

Wait 1.5

Answer 12

Not in my experience. You need r. Your know that 8r = 12.

Divide both sides of this equation by 8 to isolate r.

Answer 13

Once y ou have a and r, the formula for the geometric sequence is

\[a _{n+1}=a*r ^{n}\] with n beginning with 1, 2, 3, and so on.

Answer 14

Okay but what is A

Answer 15

I asked y ou earlier to identify the letter of the alphabet that is most often chosen to represent the first term of a geometric series. In this case the first term is what?

The letter used to identify this first term is ' a ' .

Answer 16

Sorry Im not getting what your asking

Answer 17

Wait its D I got it