Question

The following function defines a recursive sequence.

f(0) = -4

f(1) = 12

f(n) = -3•f(n -1) - 2•f(n - 2); for n > 1

Which of the following sequences is defined by this recursive function? -4, 12, -28, 60, …

A. -4, 12, -28, -60, …

B. -4, -12, -28, -60, …

C. -4, 12, -18, 54, …

D. -4, 12, -18, -54, …

Answer 1

Please Help Me!! ASAP

Answer 2

So according to your formula, \[f(2) = -3*f(2-1) - 2*f(2-2)\]and\[f(0)=-4, \,f(1) = 12\]

Can you find the value of \(f(2)\)?

Answer 3

No I am very confused by this can you please help

Answer 4

Hint: \[f(2-1) = f(1)\]and\[f(2-2) = f(0)\]

Answer 5

I still have no idea my teacher barely went over this

Answer 6

Look, it's simple substitution. Everywhere you see \(f(1)\), put (12). Everywhere you see \(f(0)\), put (-4).

Answer 7

Then what would i do with this f(n) = -3•f(n -1) - 2•f(n - 2); for n > 1

Answer 8

HELP PLEASE

Answer 9

WAIT WOULD THE ANSWER be C because it cant be a or be because it is 12 not -12

Answer 10

Please HELP ME

Answer 11

given that f(0) = -4 and f(1) = 12, and that the recursive formula is

f(n) = -3•f(n -1) - 2•f(n - 2),

let's find f(2).

f(2) = -3*f(2-1) - 2f*(2-2) = -3*f(1) - 2*f(0)

Would you now substitute the given values for f(0) and f(1) to calculate f(2).

Answer 12

What i am still very confused so it would end up being -50

Answer 13

Can you please help am i correct or can you just tell me the answer because i have been stuck on this for like half an hour

Answer 14

Everywhere you see \(f(1)\) replace it with \((12)\). Everywhere you see \(f(0)\) replace it with \((-4)\).
\[f(2) = -3*f(1) - 2*f(0)\]
What do you get after you do those replacements?

Answer 15

f(2) = 152?

Answer 16

oh wait i did something wrong

Answer 17

f(2) = -28 right?

Answer 18

\[f(2) = -3*f(1) - 2*f(0)\]\[=-3*(12) - 2*(-4)\]\[=-36-(-8) \]\[= -28\]

Answer 19

See, that's not so hard, is it? Now to find \(f(3)\) we do the same thing, except here we use \(f(2) = -28\) and \(f(1) = 12\) instead of \(f(1) = 12\) and \(f(0) = -4\)

Answer 20

\[f(3) = -3*f(2)-2*f(1) =\]

Answer 21

ok so the answer would be A

Answer 22

let's just work through it before making any rash decisions about the answers, okay?

Answer 23

ok

Answer 24

so \(f(3) =\)

Answer 25

60

Answer 26

it looks like you might have copied the answers wrong in the problem statement...

Yes, that's right. What is \(f(4)=\)
(yes, you don't need it for this problem, but I'd like to see that you can find it without our help!)

Answer 27

-124

Answer 28

very good!

So you mentioned that you thought A was the right choice. Looking at what you've posted, you have A listed as

\[\text{A}. -4, 12, -28, -60, …
\]

I assume that is really supposed to be \(60\) on the end?

Answer 29

yes sorry i copied it wrong

Answer 30

While Your Still here could you help me with another question

Answer 31

The first four terms of a sequence are shown below.

9, 5, 1, -3

Which of the following functions best defines this sequence?

f(1) = 9, f(n + 1) = f(n) - 4; for n ≥ 1

f(1) = 9, f(n + 1) = f(n) + 4; for n ≥ 1

f(1) = 9, f(n + 1) = f(n) - 5; for n ≥ 1

f(1) = 9, f(n + 1) = f(n) + 5; for n ≥ 1