Question

4. The following function defines a recursive sequence.
f(0) = -5

f(1) = 20

f(n) = -4•f(n -1) - 3•f(n - 2); for n > 1

Which of the following sequences is defined by this recursive function? (4 points)


-5, -20, -65, -200, …
-5, 20, -92, 372, …
-5, -24, -92, -372, …
-5, 20, -65, 200

Answer 1

@jtm-PA

Answer 2

we can eliminate A and C

Answer 3

Your \(f(0)=5\) and \(f(1)=20\), so yes, you can eliminate \(A\) and \(C\).

Answer 4

Now, plug in \(f(0)=1\) and \(f(1)=20\) to find \(f(2)\).

Answer 5

19?

Answer 6

\(f(n)=-4f(n-1)-3f(n-2)\) (for n>1)
\(f(2)=-4f(2-1)-3f(2-2)\)
\(f(2)=-4f(1)-3f(0)\)
\(f(2)=-4(20)-3(5)\)

Answer 7

See what I did?

Answer 8

-80 - 15 = -95

Answer 9

Yes, that is correct.

Answer 10

Do you have any questions about the procedure though?

Answer 11

Yes!

Answer 12

thereis no answer like that

Answer 13

its not everything is here

Answer 14

im looking at the original... ill take screenshot

Answer 15

oh damn

Answer 16

\(\bf f(2)=−4(20)−3(\color{red}{-}5)=-65\).

Answer 17

I missed the negative:)

Answer 18

yyeesss OMGTHATS ITS

Answer 19

OMG thank youuu

Answer 20

No problem ....

Answer 21

@SolomonZelman

Answer 22

whats the slope formula

Answer 23

The formula that gives the slope of a line.
(You can look up the equation online ... I lost my famous word doc with copy-paste equations.)