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Generate the first 5 terms of this sequence:
f(1) = 0 and f(2) = 1, f(n) = f(n  1) + f(n  2), for n > 2.
A. 0, 1, 1, 0, 2
B. 0, 1, 1, 2, 3
C. 0, 1, 2, 2, 3
D. 0, 1, 1, 2, 2
Please helppp! Thanks! <3
 7 months ago
 7 months ago
Generate the first 5 terms of this sequence: f(1) = 0 and f(2) = 1, f(n) = f(n  1) + f(n  2), for n > 2. A. 0, 1, 1, 0, 2 B. 0, 1, 1, 2, 3 C. 0, 1, 2, 2, 3 D. 0, 1, 1, 2, 2 Please helppp! Thanks! <3
 7 months ago
 7 months ago

This Question is Closed

myininayaBest ResponseYou've already chosen the best response.1
f(n)=f(n1)+f(n2) Try replacing n with 3 like so f(3)=f(31)+f(32) f(3)=f(2)+f(1) You know what f(2) equals and you know what f(1) equals f(2)=1 and f(1)=0 Replace f(2) and f(1) with 1 and 0 respectively and then add those values to get f(3)
 7 months ago

jessifoshoBest ResponseYou've already chosen the best response.1
Um... f(3) = f(1) + f(0) So, f(3) equals 1? How do I get all those other numbers in the choices? :o
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
you keep going up with n
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
find f(4) using the same f(n)=f(n1)+f(n2) formula
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
then do f(5) and so on...
 7 months ago

jessifoshoBest ResponseYou've already chosen the best response.1
... But what //is// f(5)? Idk I've been doing this for like an hour and the lesson is horrible at describing it. :(((
 7 months ago

jessifoshoBest ResponseYou've already chosen the best response.1
And I'm not supposed to find f(5), I think... I'm supposed to find 5 terms or something.
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
f(1), f(2),f(3),f(4),f(5) are the numbers in your sequence. f(1) and f(2) are given we just found f(3) given f(n)=f(n1)+f(n2) then we do the same for f(4) and f(5) Evaluate: f(4)=f(41)+f(42) and f(5)=f(51)+f(52)
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
You must do f(4) before you do f(5) though
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
Since to evaluate f(5), you will need to know f(4) and f(3)
 7 months ago

jessifoshoBest ResponseYou've already chosen the best response.1
f(4) = f(41) + f(42) f(4) = f(3) + f(2) f(4) = 5? _________ f(5) = f(51) + f(52) f(5) = f(4) + f(3) f(5) = 7? Is this correct?
 7 months ago

jessifoshoBest ResponseYou've already chosen the best response.1
...? I don't understand. D:
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
So f(1)=0 f(2)=1 f(3)=f(31)+f(32) =f(2) +f(1) But we are given that f(2) is 1 and f(1) is 0 So we replace f(2) with 1 and we replace f(1) with 0 like so =1 +0 =1 So we just concluded as we concluded earlier that f(3) is 1 not 3
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
Now to find f(4) You use the same formula f(n)=f(n1)+f(n2) this is the same formula we used to evaluate f(3) We will use this formula over and over until we are done finding numbers in the sequence (which this sequence goes on forever) So anyways f(4) Replace n with 4 f(4)=f(41)+f(42) =f(3) +f(2) Recall we just found f(3) and f(2) was given to us.
 7 months ago

jessifoshoBest ResponseYou've already chosen the best response.1
... I am so confused. Okay so the formula comes out to ... f(4) = f(1) + f(1)? ??? ?? So the answer is 2? Does that make the answer to the entire problem C? :S
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
well f(3) is just one not f(1) and f(2) is just one not f(1)
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
f(1) is not equal to f(2)
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
but 1 is equal to f(2)
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
but yes 1+1 is equal to 2
 7 months ago

jessifoshoBest ResponseYou've already chosen the best response.1
But in the problem... it says " f(2) = 1"?
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
yes f(2) =1 but f(2) does not equal f(1) f(1) is 0 0 is never 1 so f(2) is never f(1) because they hold different values
 7 months ago

jessifoshoBest ResponseYou've already chosen the best response.1
Oh. I thought they were the same lol w/e. So is the answer C or do I have to waste my time farther into the problem?? :o
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
I'm pretty sure that is not what we got...
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
the first five terms are f(1),f(2),f(3),f(4),f(5) we have that f(1)=0, f(2)=1, f(3)=1, f(4)=2,....
 7 months ago

jessifoshoBest ResponseYou've already chosen the best response.1
Ohhh or it could be B or D. I know it isn't A...
 7 months ago

jessifoshoBest ResponseYou've already chosen the best response.1
Ugh so I have to do more. x_x Math sucks omfg. Okay so lemme figure out the 5 term thingy.
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
You don't have to do more.
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
You just aren't realizing what we got for the first 4 numbers I guess
 7 months ago

jessifoshoBest ResponseYou've already chosen the best response.1
Well two choices have "0, 1, 1, 2" as the first four numbers...
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
So yeah we do have go one more because b and d both begin with that (sorry didn't realize)
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
I leave finding f(5) to you
 7 months ago

jessifoshoBest ResponseYou've already chosen the best response.1
Whats the equation thingy??
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
f(n)=f(n1)+f(n2) this is the same one we have been using
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
If we want to find f(5) and we are given f(n)=f(n1)+f(n2) then in order for f(n) and f(5) to be the same n would have to be 5. So replace all the n's you see in f(n)=f(n1)+f(n2) with 5.
 7 months ago

jessifoshoBest ResponseYou've already chosen the best response.1
f(5)=f(51)+f(52) f(5) = 4 + 3 f(5) = 2 + 1 f(5) = 3 So it's "B," right?
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
You mean that f(51) is equal f(4) and that f(52) is equal to f(3) You only performed the inside operation You haven't even used f So You should have f(5)=f(51)+f(52) =f(4) + f(3) because 51 is 4 and 52 is 3 =2 + 1 because f(4) is 2 and f(3) is 1 =3 The answer is right Just the work was a little off. But yes now we can say what the answer is
 7 months ago

jessifoshoBest ResponseYou've already chosen the best response.1
Yeah I don't need to show my work. Math is stupid so as long as I have the right answer, I'll pass. :) Hey, can you help me check the answer I found on the first part of a different question? Just so I know I'm on the right path to the correct answer?
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
Math is in everything.
 7 months ago

jessifoshoBest ResponseYou've already chosen the best response.1
Lol I'm more of a calculator type of girl, myself. I'm a writer so it's not as important to me (unless someday a girl behind the cash register at the grocery store makes me solve a complicated equation about substitutions for x or whatever (with work shown!) LOL) So yeah, anyways, can you help just check my answer for the first part of this thing? I need to get this work done so I don't fail World History. D:
 7 months ago

jessifoshoBest ResponseYou've already chosen the best response.1
(I'm homeschooled so my douchy World History teacher is going to call me in like 15 minutes and ask a bunch of questions I'll end up blundering on x_x. Next semester I'm going back to brick and mortar before I flunk World History and Algebra completely. lol)
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
Well, I would have to say it would help you and I have if you had a more positive attitude about math.
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
And any of your future math tutors.
 7 months ago

jessifoshoBest ResponseYou've already chosen the best response.1
Yeah any positivity on the subject more along the lines of me looking forward to the bright horizon: the time that I'm allowed to stop taking math classes. Lol. I guess what motivates me is the "It'll be over soon~" idea like soldiers on the battlefield or somebody starving to death in the wilderness. I'd like to get it done and not have math bring down my 4.0 GPA. x_x I've always sucked at it, no matter how hard I try, and I don't like the subject in general (In my opinion, it's a bit impractical. Nobody I've ever met that isn't in a field like architecture or something has ever meticulously plotted graph points. And the only fractions I've ever found to be actually necessary in real life are 1/2, 1/3, and 1/4, basically.) I guess I'll never be a mathematician. *shrugs* Oh well. Lol.
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
Go ahead and post your other problem.
 7 months ago

jessifoshoBest ResponseYou've already chosen the best response.1
Okay. :) "Find f(5) for this sequence: f(1) = 2 and f(2) = 5 f(n) = f(1) + f(2) + f(n  1) n > 2. f(5) = ______ " This is the problem. I made this equation: f(3) = f(1) + f(2) + f(3  1) So, with this, I ended up making: f(3) = 2 + 5 + f(3  1) The "f(3  1)" part is confusing me. I don't know what to do with this section as I try to evaluate the terms. D:
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
so what is f(31) equal to? f(31) is equal to f(2) and f(2) is given to you in the problem
 7 months ago

jessifoshoBest ResponseYou've already chosen the best response.1
Oooh! Okay, I didn't think about it that way. f(3) = 2 + 5 + 5 f(3) = 12 Is this correct? (My original answer wasn't at all; I got 9 somehow. Lol)
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
that is right! good job!
 7 months ago

jessifoshoBest ResponseYou've already chosen the best response.1
Okay! :)) Now one last question; how do I translate that into finding the 4th term? f(4) = f(1) + f(2) + f(4  1) f(4) = 2 + 5 + 12 Does it look like this to solve it? :3
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
Yep! That is great. I think you are getting it.
 7 months ago

jessifoshoBest ResponseYou've already chosen the best response.1
Okay! Thanks for all your help! :D
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
I'm really happy that you are happy that you did it. :) Now I must go. Good luck on everything.
 7 months ago

myininayaBest ResponseYou've already chosen the best response.1
I gave you a medal for understanding by the way. :)
 7 months ago
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