Question

A sequence is defined by the recursive formula f(n + 1) = 1.5f(n). Which sequence could be generated using the formula?

Answer 1

Hi there, welcome to QuestionCove!

Let's plug in some numbers as that's the best way to get to the answer!
If we say f(0)= 1
What do you get when you plug in n=0

What do you get when n = 1, 2, 3

Do you notice a pattern between the numbers?

Now look at your answer choices and see which one has that same pattern

Answer 2

–12, –18, –27, ...
–20, 30, –45, ...
–18, –16.5, –15, ...
–16, –17.5, –19, ...

Answer 3

Thank you for providing the answer choices.

Let's say that f(0) = 1

now plug in n = 0
f(0+1) = 1.5*f(0)
f(1) = 1.5 * f(0)
Plug in 1 for f(0) because that's what I said it was earlier. I just made up a value because it's important that we understand the pattern/relationship between the numbers

f(1) = 1.5*1
f(1) = 1.5

So now can you find f(2) is? You have to plug in n= 1

Answer 4

Once you figure out the pattern, we can look to see which answer choice has the same correct pattern.

Answer 5

There are multiple correct answers because they didn't tell us what one value would be when you have a certain n. So that's why we need to find the pattern

Answer 6

But among your answer choices, they only listed one possible correct answer choice.

Please do ask any questions you have if you're confused