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Mathematics 20 Online
OpenStudy (anonymous):

Medal and fan to the first one who replies

OpenStudy (anonymous):

A recursive function is shown below: f(1) = 5 and f(n) = f(n - 1) - 6; n > 1 Which of the following lists the terms in the sequence defined by this recursive function? 5, 1, 7, 13, 19, ... 5, -1, -7, -13, -19, ... 5, 11, 17, 23, 29, ... 5, -11, -17, -23, -29, ...

OpenStudy (anonymous):

It is either the 1st or the 3rd

OpenStudy (anonymous):

@dinopyte please help I will give you a medal

OpenStudy (anonymous):

hey directrix can you please help

Directrix (directrix):

f(1) = 5 ; Let n = 2. Then, f(2) = f(2 - 1) - 6 f(2) = f(1) - 6 f(2) = 5 - 6 = -1 Now, you try f(3), okay?

OpenStudy (anonymous):

I dont get it

Directrix (directrix):

You have to work by steps or you will get mixed up.

Directrix (directrix):

So far, we have f(1) = 5, f(2) = -1 f(n - 1) - 6; Replace n by 3.

OpenStudy (anonymous):

ok so if we r doing f(3) then n=3 right

Directrix (directrix):

No.

OpenStudy (anonymous):

whaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa? so what would n=

Directrix (directrix):

f(n) = f(n - 1) - 6 Replace n by 3. f(3) = f(3-1) - 6 = f(2) - 6 = (-1) - 6 = -7

Directrix (directrix):

You try f(4).

OpenStudy (anonymous):

f(4)= f(4 - 1)-6

OpenStudy (anonymous):

is that right

Directrix (directrix):

So far so good.

Directrix (directrix):

f(4)= f(4 - 1) - 6 = f(3) - 6 = ? Look up to see what f of 3 is or you'll mess up.

OpenStudy (anonymous):

f(2)?

OpenStudy (anonymous):

@directrix r u there

Directrix (directrix):

Yes.

Directrix (directrix):

Read back up the thread to find the value of f(2)

OpenStudy (anonymous):

is that to the f(2) or r u there

Directrix (directrix):

You need f(3) for your calulation.

OpenStudy (anonymous):

f(2)=-1

Directrix (directrix):

f(1) = 5 ; Given f(2) = -1 Computed above f(3) - -7 Computed above

Directrix (directrix):

So, put the value of f(3) here: f(4)= f(4 - 1) - 6 = f(3) - 6 =

OpenStudy (anonymous):

f(4)= f(4 - 1) - 6 = f(3) - 6 = -7?

Directrix (directrix):

No but almost.

OpenStudy (anonymous):

--7?

Directrix (directrix):

f(4)= f(4 - 1) - 6 = f(3) - 6 = -7 Minus 6 =

OpenStudy (anonymous):

oh ok so -13?

Directrix (directrix):

Correct. Hey, I messed up the typing of this: f(3) = -7 Computed above. Sorry.

Directrix (directrix):

Now, see if you can knock out f(5)

OpenStudy (anonymous):

np its ok

OpenStudy (anonymous):

f(5)=f(5-1)-6=f(4)= f(4 - 1) - 6 = f(3) - 6 = f(2) - 6 = (-1) - 6 = -7

Directrix (directrix):

No. Let's see what went wrong.

Directrix (directrix):

f(5)=f(5-1) - 6 = f(4) - 6 = -13 - 6 =

OpenStudy (anonymous):

-13 - 6 = -19

Directrix (directrix):

What this recursive function does is to do something to the previous term to generate the current term. In this case, the function just subtracts 6 from the previous term. But, if you mess up the previous term, set of term values will not be right.

Directrix (directrix):

@ro561man

OpenStudy (anonymous):

Im here its being weird

Directrix (directrix):

This site has been acting weird for years but it is acting extra weird lately. Nobody seems to be able to repair it.

OpenStudy (anonymous):

@Directrix Yeah I agree, but can we get to the question I don't have much time

OpenStudy (anonymous):

oh there u r srry

Directrix (directrix):

I thought we had finished.

Directrix (directrix):

What is this f(5)=f(5-1) - 6 = f(4) - 6 = -13 - 6 = Then, pick the answer and close out.

Directrix (directrix):

-13 - 6 = what

OpenStudy (anonymous):

im still lost I get that you subtract 6 but I dont know if the answer is A or C

Directrix (directrix):

That is -19 Here are the terms we computed:

Directrix (directrix):

f(1) = 5 ; Given f(2) = -1 Computed above f(3) = -7 Computed above f(4) = -13 Computed above f(5) = -19 Computed above

OpenStudy (anonymous):

oh I see you had to do all the functions then you would get your answer the way it was all set up I got confused sorry we were done

OpenStudy (anonymous):

Thank you for the help once again

OpenStudy (anonymous):

but can you answer one more

OpenStudy (anonymous):

@Directrix r u there

Directrix (directrix):

You'll have to start a new thread. This one is too long.

OpenStudy (anonymous):

ok

Directrix (directrix):

Close and move on.

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